GCD of 928, 800, 956, 707 Calculator

Given Input numbers are 928, 800, 956, 707

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 956

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

1, 2, 4, 239, 478, 956

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 928, 800, 956, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 800, 956, 707 is 1.

Therefore, GCD of numbers 928, 800, 956, 707 is 1

Given Input Data is 928, 800, 956, 707

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 707 is 7 x 101

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(928, 800) = 23200

GCD(928, 800) = ( 928 x 800 ) / 23200

GCD(928, 800) = 742400 / 23200

GCD(928, 800) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 956

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

LCM(32, 956) = 7648

GCD(32, 956) = ( 32 x 956 ) / 7648

GCD(32, 956) = 30592 / 7648

GCD(32, 956) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 707

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

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

GCD(4, 707) = 2828 / 2828

GCD(4, 707) = 1

GCD of 928, 800, 956, 707 is 1

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1. What is the GCD of 928, 800, 956, 707?

GCD of 928, 800, 956, 707 is 1

2. Where do I get the detailed procedure to find GCD of 928, 800, 956, 707?

You can find a detailed procedure to find GCD of 928, 800, 956, 707 on our page.

3. How to find GCD of 928, 800, 956, 707 on a calculator?

You can find the GCD of 928, 800, 956, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.