Mathematics

Highest common factor 70 and 385

Posted 2 months ago

Answers (2)

Jane Smith 2 months ago

Final answer: The Highest Common Factor (HCF) of 70 and 385 is 35, found by listing the factors of each number and identifying the highest one they have in common. So the correct answer HCF of 70 and 385 is 35. Explanation: To find the Highest Common Factor (HCF) or greatest common divisor (GCD) of 70 and 385, one could use the Euclidean algorithm or list the factors: First, list the factors of each number: Find the common factors, which are 1, 5, 7, and 35. The highest common factor they share is 35. So, the HCF of 70 and 385 is 35.

Jane Smith 2 months ago

Answer: 35 Step-by-step explanation: To find the highest common factor (HCF) of 70 and 385, we can use the prime factorization method. Step 1: Find the prime factors of each number. - The prime factorization of 70 is 2 × 5 × 7. - The prime factorization of 385 is 5 × 7 × 11. Step 2: Identify the common prime factors. - Both numbers have the prime factors 5 and 7. Step 3: Multiply the common prime factors. - Multiply 5 and 7 together: 5 × 7 = 35. Therefore, the highest common factor (HCF) of 70 and 385 is 35. Note: The HCF is the largest number that divides both numbers without leaving a remainder. In this case, 35 is the highest number that can divide both 70 and 385 evenly. I hope this helps.

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