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GCD of 132, 910, 784, 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 132, 910, 784, 902 quickly. Get the easiest ways to solve the greatest common divisor of 132, 910, 784, 902 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 132, 910, 784, 902 with Factoring?

Given Input numbers are 132, 910, 784, 902

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 (132, 910, 784, 902) = 2.

Find GCD of 132, 910, 784, 902 using Prime Factorization

Given numbers are 132, 910, 784, 902

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 902 are 2 x 11 x 41

The highest common occurrence is 21

Therefore, GCD of 132, 910, 784, 902 is 2.

Steps to Calculate GCD of 132, 910, 784, 902 using LCM Formula

Given numbers are 132, 910, 784, 902

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

Apply this formula for all numbers.

Step1:

LCM(132, 910) = 60060

GCD(132, 910) = ( 132 x 910 ) / 60060

= 132 / 910

= 132


Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2


Step3:

LCM(2, 902) = 902

GCD(2, 902) = ( 2 x 902 ) / 902

= 2 / 902

= 2


So, Greatest Common Divisor of 132, 910, 784, 902 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 132, 910, 784, 902

Given numbers are 132, 910, 784, 902
The greatest common divisor of numbers 132, 910, 784, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 910, 784, 902 is 2.

FAQs on GCD of 132, 910, 784, 902 Calculator

1. What is the GCD of 132, 910, 784, 902?

GCD of given numbers 132, 910, 784, 902 is 2


2. How to calculate the greatest common divisor of 132, 910, 784, 902?

We can find the highest common divisor of 132, 910, 784, 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 132, 910, 784, 902 i.e 2.


3. How can I use the GCD of 132, 910, 784, 902Calculator?

Out the numbers 132, 910, 784, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.