GCD of 90, 774, 959, 757 Calculator

Given Input numbers are 90, 774, 959, 757

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

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 90, 774, 959, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 774, 959, 757 is 1.

Therefore, GCD of numbers 90, 774, 959, 757 is 1

Given Input Data is 90, 774, 959, 757

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

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

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 959 is 7 x 137

Prime Factorization of 757 is 757

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(90, 774) = 3870

GCD(90, 774) = ( 90 x 774 ) / 3870

GCD(90, 774) = 69660 / 3870

GCD(90, 774) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 959

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

LCM(18, 959) = 17262

GCD(18, 959) = ( 18 x 959 ) / 17262

GCD(18, 959) = 17262 / 17262

GCD(18, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 90, 774, 959, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 463, 140, 530
• GCD of 13, 223, 302, 730
• GCD of 82, 487, 228, 977
• GCD of 11, 405, 754, 353
• GCD of 72, 333, 822, 384

1. What is the GCD of 90, 774, 959, 757?

GCD of 90, 774, 959, 757 is 1

2. Where do I get the detailed procedure to find GCD of 90, 774, 959, 757?

You can find a detailed procedure to find GCD of 90, 774, 959, 757 on our page.

3. How to find GCD of 90, 774, 959, 757 on a calculator?

You can find the GCD of 90, 774, 959, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.