GCD of 913, 165, 164, 974 Calculator

Given Input numbers are 913, 165, 164, 974

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

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 913, 165, 164, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 165, 164, 974 is 1.

Therefore, GCD of numbers 913, 165, 164, 974 is 1

Given Input Data is 913, 165, 164, 974

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 974 is 2 x 487

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(913, 165) = 13695

GCD(913, 165) = ( 913 x 165 ) / 13695

GCD(913, 165) = 150645 / 13695

GCD(913, 165) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 164

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

LCM(11, 164) = 1804

GCD(11, 164) = ( 11 x 164 ) / 1804

GCD(11, 164) = 1804 / 1804

GCD(11, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 913, 165, 164, 974 is 1

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1. What is the GCD of 913, 165, 164, 974?

GCD of 913, 165, 164, 974 is 1

2. Where do I get the detailed procedure to find GCD of 913, 165, 164, 974?

You can find a detailed procedure to find GCD of 913, 165, 164, 974 on our page.

3. How to find GCD of 913, 165, 164, 974 on a calculator?

You can find the GCD of 913, 165, 164, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.