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GCD of 492, 572, 88, 902 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 492, 572, 88, 902 quickly. Get the easiest ways to solve the greatest common divisor of 492, 572, 88, 902 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 572, 88, 902 with Factoring?

Given Input numbers are 492, 572, 88, 902

In the factoring method, we have to find the divisors of all numbers

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 88 :

The positive integer divisors of 88 that completely divides 88 are.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (492, 572, 88, 902) = 2.

Find GCD of 492, 572, 88, 902 using Prime Factorization

Given numbers are 492, 572, 88, 902

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 88 are 2 x 2 x 2 x 11

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 21

Therefore, GCD of 492, 572, 88, 902 is 2.

Steps to Calculate GCD of 492, 572, 88, 902 using LCM Formula

Given numbers are 492, 572, 88, 902

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(492, 572) = 70356

GCD(492, 572) = ( 492 x 572 ) / 70356

= 492 / 572

= 492


Step2:

LCM(4, 88) = 88

GCD(4, 88) = ( 4 x 88 ) / 88

= 4 / 88

= 4


Step3:

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

= 4 / 902

= 4


So, Greatest Common Divisor of 492, 572, 88, 902 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 572, 88, 902

Given numbers are 492, 572, 88, 902
The greatest common divisor of numbers 492, 572, 88, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 572, 88, 902 is 2.

FAQs on GCD of 492, 572, 88, 902 Calculator

1. What is the GCD of 492, 572, 88, 902?

GCD of given numbers 492, 572, 88, 902 is 2


2. How to calculate the greatest common divisor of 492, 572, 88, 902?

We can find the highest common divisor of 492, 572, 88, 902 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 492, 572, 88, 902 i.e 2.


3. How can I use the GCD of 492, 572, 88, 902Calculator?

Out the numbers 492, 572, 88, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.