GCD of 674, 312, 36, 961 Calculator

Given Input numbers are 674, 312, 36, 961

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 674, 312, 36, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 312, 36, 961 is 1.

Therefore, GCD of numbers 674, 312, 36, 961 is 1

Given Input Data is 674, 312, 36, 961

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

Prime Factorization of 674 is 2 x 337

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 961 is 31 x 31

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(674, 312) = 105144

GCD(674, 312) = ( 674 x 312 ) / 105144

GCD(674, 312) = 210288 / 105144

GCD(674, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

GCD of 674, 312, 36, 961 is 1

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1. What is the GCD of 674, 312, 36, 961?

GCD of 674, 312, 36, 961 is 1

2. Where do I get the detailed procedure to find GCD of 674, 312, 36, 961?

You can find a detailed procedure to find GCD of 674, 312, 36, 961 on our page.

3. How to find GCD of 674, 312, 36, 961 on a calculator?

You can find the GCD of 674, 312, 36, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.