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GCD of 132, 752, 88, 812 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, 752, 88, 812 quickly. Get the easiest ways to solve the greatest common divisor of 132, 752, 88, 812 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 132, 752, 88, 812 with Factoring?

Given Input numbers are 132, 752, 88, 812

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 88 :

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

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

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812


GCD of numbers is the greatest common divisor

So, the GCD (132, 752, 88, 812) = 4.

Find GCD of 132, 752, 88, 812 using Prime Factorization

Given numbers are 132, 752, 88, 812

The list of prime factors of all numbers are

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

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 22

Therefore, GCD of 132, 752, 88, 812 is 4.

Steps to Calculate GCD of 132, 752, 88, 812 using LCM Formula

Given numbers are 132, 752, 88, 812

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

Apply this formula for all numbers.

Step1:

LCM(132, 752) = 24816

GCD(132, 752) = ( 132 x 752 ) / 24816

= 132 / 752

= 132


Step2:

LCM(4, 88) = 88

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

= 4 / 88

= 4


Step3:

LCM(4, 812) = 812

GCD(4, 812) = ( 4 x 812 ) / 812

= 4 / 812

= 4


So, Greatest Common Divisor of 132, 752, 88, 812 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 132, 752, 88, 812

Given numbers are 132, 752, 88, 812
The greatest common divisor of numbers 132, 752, 88, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 752, 88, 812 is 4.

FAQs on GCD of 132, 752, 88, 812 Calculator

1. What is the GCD of 132, 752, 88, 812?

GCD of given numbers 132, 752, 88, 812 is 4


2. How to calculate the greatest common divisor of 132, 752, 88, 812?

We can find the highest common divisor of 132, 752, 88, 812 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, 752, 88, 812 i.e 4.


3. How can I use the GCD of 132, 752, 88, 812Calculator?

Out the numbers 132, 752, 88, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.