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GCD of 826, 122, 142, 132 Calculator

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


Online GCD Calculator is useful to find the GCD of 826, 122, 142, 132 quickly. Get the easiest ways to solve the greatest common divisor of 826, 122, 142, 132 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 826, 122, 142, 132 with Factoring?

Given Input numbers are 826, 122, 142, 132

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 122 :

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

1, 2, 61, 122

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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


GCD of numbers is the greatest common divisor

So, the GCD (826, 122, 142, 132) = 2.

Find GCD of 826, 122, 142, 132 using Prime Factorization

Given numbers are 826, 122, 142, 132

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 122 are 2 x 61

Prime factors of 142 are 2 x 71

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

The highest common occurrence is 21

Therefore, GCD of 826, 122, 142, 132 is 2.

Steps to Calculate GCD of 826, 122, 142, 132 using LCM Formula

Given numbers are 826, 122, 142, 132

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

Apply this formula for all numbers.

Step1:

LCM(826, 122) = 50386

GCD(826, 122) = ( 826 x 122 ) / 50386

= 826 / 122

= 826


Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2


Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2


So, Greatest Common Divisor of 826, 122, 142, 132 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 826, 122, 142, 132

Given numbers are 826, 122, 142, 132
The greatest common divisor of numbers 826, 122, 142, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 122, 142, 132 is 2.

FAQs on GCD of 826, 122, 142, 132 Calculator

1. What is the GCD of 826, 122, 142, 132?

GCD of given numbers 826, 122, 142, 132 is 2


2. How to calculate the greatest common divisor of 826, 122, 142, 132?

We can find the highest common divisor of 826, 122, 142, 132 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 826, 122, 142, 132 i.e 2.


3. How can I use the GCD of 826, 122, 142, 132Calculator?

Out the numbers 826, 122, 142, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.