GCD of 900, 116, 968, 787 Calculator

Given Input numbers are 900, 116, 968, 787

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Greatest Common Divisior

We found the divisors of 900, 116, 968, 787 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 116, 968, 787 is 1.

Therefore, GCD of numbers 900, 116, 968, 787 is 1

Given Input Data is 900, 116, 968, 787

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 787 is 787

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(900, 116) = 26100

GCD(900, 116) = ( 900 x 116 ) / 26100

GCD(900, 116) = 104400 / 26100

GCD(900, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 968

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

LCM(4, 968) = 968

GCD(4, 968) = ( 4 x 968 ) / 968

GCD(4, 968) = 3872 / 968

GCD(4, 968) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 787

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

LCM(4, 787) = 3148

GCD(4, 787) = ( 4 x 787 ) / 3148

GCD(4, 787) = 3148 / 3148

GCD(4, 787) = 1

GCD of 900, 116, 968, 787 is 1

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1. What is the GCD of 900, 116, 968, 787?

GCD of 900, 116, 968, 787 is 1

2. Where do I get the detailed procedure to find GCD of 900, 116, 968, 787?

You can find a detailed procedure to find GCD of 900, 116, 968, 787 on our page.

3. How to find GCD of 900, 116, 968, 787 on a calculator?

You can find the GCD of 900, 116, 968, 787 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.