GCD of 561, 902, 48, 664 Calculator

Given Input numbers are 561, 902, 48, 664

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 561, 902, 48, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 902, 48, 664 is 1.

Therefore, GCD of numbers 561, 902, 48, 664 is 1

Given Input Data is 561, 902, 48, 664

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(561, 902) = 46002

GCD(561, 902) = ( 561 x 902 ) / 46002

GCD(561, 902) = 506022 / 46002

GCD(561, 902) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 48

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

LCM(11, 48) = 528

GCD(11, 48) = ( 11 x 48 ) / 528

GCD(11, 48) = 528 / 528

GCD(11, 48) = 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 561, 902, 48, 664 is 1

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1. What is the GCD of 561, 902, 48, 664?

GCD of 561, 902, 48, 664 is 1

2. Where do I get the detailed procedure to find GCD of 561, 902, 48, 664?

You can find a detailed procedure to find GCD of 561, 902, 48, 664 on our page.

3. How to find GCD of 561, 902, 48, 664 on a calculator?

You can find the GCD of 561, 902, 48, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.