Find the largest common factor of 720 & 600.1. 24 × 32 × 512. 23 ×

1.	Find the largest common factor of 720 & 600.1. 24 × 32 × 512. 23 × 31 × 513. 23 × 31 × 524. 24 × 32 × 52
Answer» Correct Answer - Option 2 : 2³ × 3¹ × 5¹ Given: Numbers are 720 & 600. Concept used: First, break the numbers into prime factors. Pick the least common power of each prime number from both the numbers. Explanation: 720 = 2⁴ × 3² × 5¹ 600 = 2³ × 3¹ × 5² Least power of '2' is 3. Least power of '3' is 1. Least power of '5' is 1. ⇒ HCF = 23 × 31 × 5¹ ∴ The largest common factor of 720 & 600 is 23 × 31 × 5¹ You have to find the largest common factor and LCM stands for Lowest common multiple. HCF stands for Highest/largest common factor.

Find the largest common factor of 720 & 600.1. 24 × 32 × 512. 23 × 31 × 513. 23 × 31 × 524. 24 × 32 × 52

Answer» Correct Answer - Option 2 : 2³ × 3¹ × 5¹

Given:

Numbers are 720 & 600.

Concept used:

First, break the numbers into prime factors.

Pick the least common power of each prime number from both the numbers.

Explanation:

720 = 2⁴ × 3² × 5¹

600 = 2³ × 3¹ × 5²

Least power of '2' is 3.

Least power of '3' is 1.

Least power of '5' is 1.

⇒ HCF = 23 × 31 × 5¹

∴ The largest common factor of 720 & 600 is 23 × 31 × 5¹

You have to find the largest common factor and LCM stands for Lowest common multiple. HCF stands for Highest/largest common factor.

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