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GCD of 132, 820, 126, 122 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, 820, 126, 122 quickly. Get the easiest ways to solve the greatest common divisor of 132, 820, 126, 122 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 132, 820, 126, 122 with Factoring?

Given Input numbers are 132, 820, 126, 122

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122


GCD of numbers is the greatest common divisor

So, the GCD (132, 820, 126, 122) = 2.

Find GCD of 132, 820, 126, 122 using Prime Factorization

Given numbers are 132, 820, 126, 122

The list of prime factors of all numbers are

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 122 are 2 x 61

The highest common occurrence is 21

Therefore, GCD of 132, 820, 126, 122 is 2.

Steps to Calculate GCD of 132, 820, 126, 122 using LCM Formula

Given numbers are 132, 820, 126, 122

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

Apply this formula for all numbers.

Step1:

LCM(132, 820) = 27060

GCD(132, 820) = ( 132 x 820 ) / 27060

= 132 / 820

= 132


Step2:

LCM(4, 126) = 252

GCD(4, 126) = ( 4 x 126 ) / 252

= 4 / 126

= 4


Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2


So, Greatest Common Divisor of 132, 820, 126, 122 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 132, 820, 126, 122

Given numbers are 132, 820, 126, 122
The greatest common divisor of numbers 132, 820, 126, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 820, 126, 122 is 2.

FAQs on GCD of 132, 820, 126, 122 Calculator

1. What is the GCD of 132, 820, 126, 122?

GCD of given numbers 132, 820, 126, 122 is 2


2. How to calculate the greatest common divisor of 132, 820, 126, 122?

We can find the highest common divisor of 132, 820, 126, 122 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, 820, 126, 122 i.e 2.


3. How can I use the GCD of 132, 820, 126, 122Calculator?

Out the numbers 132, 820, 126, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.