GCD of 920, 304, 89, 736 Calculator

Given Input numbers are 920, 304, 89, 736

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 920, 304, 89, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 304, 89, 736 is 1.

Therefore, GCD of numbers 920, 304, 89, 736 is 1

Given Input Data is 920, 304, 89, 736

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Prime Factorization of 89 is 89

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(920, 304) = 34960

GCD(920, 304) = ( 920 x 304 ) / 34960

GCD(920, 304) = 279680 / 34960

GCD(920, 304) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 89

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

LCM(8, 89) = 712

GCD(8, 89) = ( 8 x 89 ) / 712

GCD(8, 89) = 712 / 712

GCD(8, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 736

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

LCM(1, 736) = 736

GCD(1, 736) = ( 1 x 736 ) / 736

GCD(1, 736) = 736 / 736

GCD(1, 736) = 1

GCD of 920, 304, 89, 736 is 1

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1. What is the GCD of 920, 304, 89, 736?

GCD of 920, 304, 89, 736 is 1

2. Where do I get the detailed procedure to find GCD of 920, 304, 89, 736?

You can find a detailed procedure to find GCD of 920, 304, 89, 736 on our page.

3. How to find GCD of 920, 304, 89, 736 on a calculator?

You can find the GCD of 920, 304, 89, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.