WebFeb 23, 2024 · HCF or Highest Common Factor of two or more numbers is the greatest factor that divides the numbers Formula used: (a 3 + b 3) = (a + b) (a 2 - ab + b 2) Calculation: 28 (x 6 + 1) ⇒ 28 [ (x 2) 3 + 1 3] = 28 (x 2 + 1) (x 4 - x 2 + 1) And, 8 (x 5 - x 3 + x) = 8x (x 4 - x 2 + 1) HCF of 8 (x 5 - x 3 + x) and 28 (x 6 + 1) = 4 (x 4 - x 2 + 1) WebApr 8, 2024 · Find the HCF of 3 numbers 15,30 and 90 using the Prime Factorization method. Solution: 15 = 5×3×130= 5×3×2×190= 3×3×2×5×1. The common factors here are 1,3,5. Therefore, the highest common factor of the numbers,15,30 and 90 is 5×3×1=15.2. 2. Find the highest common factor of 184,230 and 276 by using the Division Method. …
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WebApr 3, 2024 · Find-the L.C.M of 5, 6, 8, 9, and 10? Solution: LCM = 2 × 3 × 3 × 4 × 5 = 360. 9. Find the least square number which is exactly divisible by 3, 4, 5, and 6? Solution: L.C.M = 2 x 2 x 3 x 5 = 2 2 x 3 x 5 Least Square Number = (2 2 x 3 x 5) X (3 x 5) (Multiply by 3 x 5 to get a square Number) = 2 2 X 3 2 X 5 2 = 900 10. WebFor example, 8 = 2 3 and 90 = 2 × 3 2 × 5. If you want to find the LCM and HCF in an exam, we can use prime factor form to simplify the process. Example one. Find the LCM and HCF of 18 and 30.
WebThere are three commonly used methods to find the HCF of 6 and 8. They are: Long Division Listing Common Factors Prime Factorisation If the HCF of 8 and 6 is 2, find its LCM. HCF (8, 6) × LCM (8, 6) = 8 × 6 The HCF of 8 and 6 = 2 ⇒ 2 × LCM (8, 6) = 48 Therefore, LCM = 24 What is the relation between LCM and HCF of 6 and 8? WebThe HCF of 6, 8, and 12 is 2. ∴ The highest number that divides 6, 8, and 12 is 2. Example 2: Calculate the HCF of 6, 8, and 12 using LCM of the given numbers. Solution: Prime factorization of 6, 8 and 12 is given as, 6 = 2 × 3. 8 = 2 × 2 × 2. 12 = 2 × 2 × 3.
WebApr 6, 2024 · Step 1: Since 56 > 5, we apply the division lemma to 56 and 5, to get. 56 = 5 x 11 + 1. Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 1 and 5, to get. 5 = 1 x 5 + 0. The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5 and 56 is 1. Notice that 1 = HCF(5,1) = HCF(56,5) . WebHighest Common Factor of 8,6,10 is 2. Step 1: Since 8 > 6, we apply the division lemma to 8 and 6, to get. 8 = 6 x 1 + 2. Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 2 and 6, to get. 6 = 2 x 3 + 0. The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8 and 6 is 2.
WebHCF also is known as GCF and GCD. For two integers ie., a, b the HCF is indicated as HCF (a,b). For example, if you take two numbers ie., 54 and 60 then the Highest Common Factor of numbers is the 6 ie., the largest …
Web6. What is the LCM of 6 and 8? Solution: To find: LCM (6, 8). The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, … The multiples of 8 are 8, 16, 24, 32, 40, 48, …. Thus, the smallest common multiple of 6 and 8 is 24. Therefore, the LCM of 6 and 8 is 24. 7. Determine the LCM of 4 and 12 using the prime factorisation method. Solution: finding my little red hat bookWebThe HCF of 6 and 8 is 2. The greatest possible number that divides 6 and 8 perfectly without any remainder is the HCF of 6 and 8. The highest number that divides 6 and 8 perfectly, … finding my life purpose worksheetWebApr 14, 2024 · 【レポート】4月8日(土) プロムナードコンサート 【重要】4月の臨時休館のお知らせ 【宅配送料変更】 hcfオンラインショップ; 新型コロナウイルス感染症 感染 … finding my little red hatfinding my loan on lending treeWebHCF By Prime Factorization Method. Follow the below-given steps to find the HCF of numbers using the prime factorisation method. Step 1: Write each number as a product … finding my liz claiborne pursesWebThe highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one. For example, 8 and 12 have common factors of 1, 2 and 4. … finding my local ip addressWebMay 10, 2015 · To guarantee the GCD to be $6$, we choose two multiples of $6$ which differ by $6$-($1$). Since the LCM is divisible by $15$ (and thus $5$), choose a multiple of $5$ and $6$, say $30$. Applying($1$), we get either ($24,30$) or ($30,36$), where both of them satisfy the given condition. finding my lost facebook account