GCD of 500, 107, 175, 812 Calculator

Given Input numbers are 500, 107, 175, 812

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 500, 107, 175, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 107, 175, 812 is 1.

Therefore, GCD of numbers 500, 107, 175, 812 is 1

Given Input Data is 500, 107, 175, 812

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 107 is 107

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 812 is 2 x 2 x 7 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, 107) = 53500

GCD(500, 107) = ( 500 x 107 ) / 53500

GCD(500, 107) = 53500 / 53500

GCD(500, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 500, 107, 175, 812 is 1

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• GCD of 120, 561, 627, 210
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• GCD of 865, 566, 428, 993

1. What is the GCD of 500, 107, 175, 812?

GCD of 500, 107, 175, 812 is 1

2. Where do I get the detailed procedure to find GCD of 500, 107, 175, 812?

You can find a detailed procedure to find GCD of 500, 107, 175, 812 on our page.

3. How to find GCD of 500, 107, 175, 812 on a calculator?

You can find the GCD of 500, 107, 175, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.