GCD of 137, 875, 500, 734 Calculator

Given Input numbers are 137, 875, 500, 734

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 137, 875, 500, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 875, 500, 734 is 1.

Therefore, GCD of numbers 137, 875, 500, 734 is 1

Given Input Data is 137, 875, 500, 734

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

Prime Factorization of 137 is 137

Prime Factorization of 875 is 5 x 5 x 5 x 7

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

Prime Factorization of 734 is 2 x 367

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(137, 875) = 119875

GCD(137, 875) = ( 137 x 875 ) / 119875

GCD(137, 875) = 119875 / 119875

GCD(137, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 137, 875, 500, 734 is 1

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1. What is the GCD of 137, 875, 500, 734?

GCD of 137, 875, 500, 734 is 1

2. Where do I get the detailed procedure to find GCD of 137, 875, 500, 734?

You can find a detailed procedure to find GCD of 137, 875, 500, 734 on our page.

3. How to find GCD of 137, 875, 500, 734 on a calculator?

You can find the GCD of 137, 875, 500, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.