GCD of 312, 700, 657 Calculator

Given Input numbers are 312, 700, 657

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 312, 700, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 700, 657 is 1.

Therefore, GCD of numbers 312, 700, 657 is 1

Given Input Data is 312, 700, 657

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 657 is 3 x 3 x 73

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(312, 700) = 54600

GCD(312, 700) = ( 312 x 700 ) / 54600

GCD(312, 700) = 218400 / 54600

GCD(312, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 657

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

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

GCD(4, 657) = 2628 / 2628

GCD(4, 657) = 1

GCD of 312, 700, 657 is 1

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1. What is the GCD of 312, 700, 657?

GCD of 312, 700, 657 is 1

2. Where do I get the detailed procedure to find GCD of 312, 700, 657?

You can find a detailed procedure to find GCD of 312, 700, 657 on our page.

3. How to find GCD of 312, 700, 657 on a calculator?

You can find the GCD of 312, 700, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.