GCD of 500, 375, 28, 957 Calculator

Given Input numbers are 500, 375, 28, 957

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

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Greatest Common Divisior

We found the divisors of 500, 375, 28, 957 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 375, 28, 957 is 1.

Therefore, GCD of numbers 500, 375, 28, 957 is 1

Given Input Data is 500, 375, 28, 957

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

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 957 is 3 x 11 x 29

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(500, 375) = 1500

GCD(500, 375) = ( 500 x 375 ) / 1500

GCD(500, 375) = 187500 / 1500

GCD(500, 375) = 125

Step2:

Here we consider the GCD from the above i.e. 125 as first number and the next as 28

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

LCM(125, 28) = 3500

GCD(125, 28) = ( 125 x 28 ) / 3500

GCD(125, 28) = 3500 / 3500

GCD(125, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

GCD of 500, 375, 28, 957 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 498, 99, 899
• GCD of 548, 206, 63, 441
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• GCD of 106, 760, 86, 866
• GCD of 508, 218, 95, 409

1. What is the GCD of 500, 375, 28, 957?

GCD of 500, 375, 28, 957 is 1

2. Where do I get the detailed procedure to find GCD of 500, 375, 28, 957?

You can find a detailed procedure to find GCD of 500, 375, 28, 957 on our page.

3. How to find GCD of 500, 375, 28, 957 on a calculator?

You can find the GCD of 500, 375, 28, 957 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.