GCD of 956, 304, 902, 169 Calculator

Given Input numbers are 956, 304, 902, 169

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

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 956, 304, 902, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 304, 902, 169 is 1.

Therefore, GCD of numbers 956, 304, 902, 169 is 1

Given Input Data is 956, 304, 902, 169

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 169 is 13 x 13

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(956, 304) = 72656

GCD(956, 304) = ( 956 x 304 ) / 72656

GCD(956, 304) = 290624 / 72656

GCD(956, 304) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 902

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

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

GCD(4, 902) = 3608 / 1804

GCD(4, 902) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 956, 304, 902, 169 is 1

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1. What is the GCD of 956, 304, 902, 169?

GCD of 956, 304, 902, 169 is 1

2. Where do I get the detailed procedure to find GCD of 956, 304, 902, 169?

You can find a detailed procedure to find GCD of 956, 304, 902, 169 on our page.

3. How to find GCD of 956, 304, 902, 169 on a calculator?

You can find the GCD of 956, 304, 902, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.