GCD of 968, 749, 90, 138 Calculator

Given Input numbers are 968, 749, 90, 138

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

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 968, 749, 90, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 749, 90, 138 is 1.

Therefore, GCD of numbers 968, 749, 90, 138 is 1

Given Input Data is 968, 749, 90, 138

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

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 138 is 2 x 3 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(968, 749) = 725032

GCD(968, 749) = ( 968 x 749 ) / 725032

GCD(968, 749) = 725032 / 725032

GCD(968, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 968, 749, 90, 138 is 1

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1. What is the GCD of 968, 749, 90, 138?

GCD of 968, 749, 90, 138 is 1

2. Where do I get the detailed procedure to find GCD of 968, 749, 90, 138?

You can find a detailed procedure to find GCD of 968, 749, 90, 138 on our page.

3. How to find GCD of 968, 749, 90, 138 on a calculator?

You can find the GCD of 968, 749, 90, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.