GCD of 125, 498, 32, 974 Calculator

Given Input numbers are 125, 498, 32, 974

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 125, 498, 32, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 498, 32, 974 is 1.

Therefore, GCD of numbers 125, 498, 32, 974 is 1

Given Input Data is 125, 498, 32, 974

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 974 is 2 x 487

The above numbers do not have any common prime factor. So GCD is 1

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(125, 498) = 62250

GCD(125, 498) = ( 125 x 498 ) / 62250

GCD(125, 498) = 62250 / 62250

GCD(125, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 125, 498, 32, 974 is 1

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1. What is the GCD of 125, 498, 32, 974?

GCD of 125, 498, 32, 974 is 1

2. Where do I get the detailed procedure to find GCD of 125, 498, 32, 974?

You can find a detailed procedure to find GCD of 125, 498, 32, 974 on our page.

3. How to find GCD of 125, 498, 32, 974 on a calculator?

You can find the GCD of 125, 498, 32, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.