GCD of 100, 912, 77, 756 Calculator

Given Input numbers are 100, 912, 77, 756

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 100, 912, 77, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 912, 77, 756 is 1.

Therefore, GCD of numbers 100, 912, 77, 756 is 1

Given Input Data is 100, 912, 77, 756

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 77 is 7 x 11

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(100, 912) = 22800

GCD(100, 912) = ( 100 x 912 ) / 22800

GCD(100, 912) = 91200 / 22800

GCD(100, 912) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 77

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

LCM(4, 77) = 308

GCD(4, 77) = ( 4 x 77 ) / 308

GCD(4, 77) = 308 / 308

GCD(4, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 100, 912, 77, 756 is 1

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1. What is the GCD of 100, 912, 77, 756?

GCD of 100, 912, 77, 756 is 1

2. Where do I get the detailed procedure to find GCD of 100, 912, 77, 756?

You can find a detailed procedure to find GCD of 100, 912, 77, 756 on our page.

3. How to find GCD of 100, 912, 77, 756 on a calculator?

You can find the GCD of 100, 912, 77, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.