GCD of 876, 600, 304, 157 Calculator

Given Input numbers are 876, 600, 304, 157

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

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 876, 600, 304, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 600, 304, 157 is 1.

Therefore, GCD of numbers 876, 600, 304, 157 is 1

Given Input Data is 876, 600, 304, 157

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

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 157 is 157

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(876, 600) = 43800

GCD(876, 600) = ( 876 x 600 ) / 43800

GCD(876, 600) = 525600 / 43800

GCD(876, 600) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 304

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

LCM(12, 304) = 912

GCD(12, 304) = ( 12 x 304 ) / 912

GCD(12, 304) = 3648 / 912

GCD(12, 304) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 157

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

LCM(4, 157) = 628

GCD(4, 157) = ( 4 x 157 ) / 628

GCD(4, 157) = 628 / 628

GCD(4, 157) = 1

GCD of 876, 600, 304, 157 is 1

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1. What is the GCD of 876, 600, 304, 157?

GCD of 876, 600, 304, 157 is 1

2. Where do I get the detailed procedure to find GCD of 876, 600, 304, 157?

You can find a detailed procedure to find GCD of 876, 600, 304, 157 on our page.

3. How to find GCD of 876, 600, 304, 157 on a calculator?

You can find the GCD of 876, 600, 304, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.