GCD of 748, 958, 957, 664 Calculator

Given Input numbers are 748, 958, 957, 664

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 748, 958, 957, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 958, 957, 664 is 1.

Therefore, GCD of numbers 748, 958, 957, 664 is 1

Given Input Data is 748, 958, 957, 664

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 958 is 2 x 479

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(748, 958) = 358292

GCD(748, 958) = ( 748 x 958 ) / 358292

GCD(748, 958) = 716584 / 358292

GCD(748, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 957

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

LCM(2, 957) = 1914

GCD(2, 957) = ( 2 x 957 ) / 1914

GCD(2, 957) = 1914 / 1914

GCD(2, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 748, 958, 957, 664 is 1

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1. What is the GCD of 748, 958, 957, 664?

GCD of 748, 958, 957, 664 is 1

2. Where do I get the detailed procedure to find GCD of 748, 958, 957, 664?

You can find a detailed procedure to find GCD of 748, 958, 957, 664 on our page.

3. How to find GCD of 748, 958, 957, 664 on a calculator?

You can find the GCD of 748, 958, 957, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.