GCD of 374, 500, 62 Calculator

Given Input numbers are 374, 500, 62

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Greatest Common Divisior

We found the divisors of 374, 500, 62 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 500, 62 is 2.

Therefore, GCD of numbers 374, 500, 62 is 2

Given Input Data is 374, 500, 62

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 62 is 2 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(374, 500) = 93500

GCD(374, 500) = ( 374 x 500 ) / 93500

GCD(374, 500) = 187000 / 93500

GCD(374, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 62) = 62

GCD(2, 62) = ( 2 x 62 ) / 62

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

GCD of 374, 500, 62 is 2

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1. What is the GCD of 374, 500, 62?

GCD of 374, 500, 62 is 2

2. Where do I get the detailed procedure to find GCD of 374, 500, 62?

You can find a detailed procedure to find GCD of 374, 500, 62 on our page.

3. How to find GCD of 374, 500, 62 on a calculator?

You can find the GCD of 374, 500, 62 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.