GCD of 920, 898, 747, 664 Calculator

Given Input numbers are 920, 898, 747, 664

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 920, 898, 747, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 898, 747, 664 is 1.

Therefore, GCD of numbers 920, 898, 747, 664 is 1

Given Input Data is 920, 898, 747, 664

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 898 is 2 x 449

Prime Factorization of 747 is 3 x 3 x 83

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(920, 898) = 413080

GCD(920, 898) = ( 920 x 898 ) / 413080

GCD(920, 898) = 826160 / 413080

GCD(920, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 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 920, 898, 747, 664 is 1

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1. What is the GCD of 920, 898, 747, 664?

GCD of 920, 898, 747, 664 is 1

2. Where do I get the detailed procedure to find GCD of 920, 898, 747, 664?

You can find a detailed procedure to find GCD of 920, 898, 747, 664 on our page.

3. How to find GCD of 920, 898, 747, 664 on a calculator?

You can find the GCD of 920, 898, 747, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.