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GCD of 426, 628, 132, 658 Calculator

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


Online GCD Calculator is useful to find the GCD of 426, 628, 132, 658 quickly. Get the easiest ways to solve the greatest common divisor of 426, 628, 132, 658 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 426, 628, 132, 658 with Factoring?

Given Input numbers are 426, 628, 132, 658

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658


GCD of numbers is the greatest common divisor

So, the GCD (426, 628, 132, 658) = 2.

Find GCD of 426, 628, 132, 658 using Prime Factorization

Given numbers are 426, 628, 132, 658

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 628 are 2 x 2 x 157

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

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 21

Therefore, GCD of 426, 628, 132, 658 is 2.

Steps to Calculate GCD of 426, 628, 132, 658 using LCM Formula

Given numbers are 426, 628, 132, 658

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

Apply this formula for all numbers.

Step1:

LCM(426, 628) = 133764

GCD(426, 628) = ( 426 x 628 ) / 133764

= 426 / 628

= 426


Step2:

LCM(2, 132) = 132

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

= 2 / 132

= 2


Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2


So, Greatest Common Divisor of 426, 628, 132, 658 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 426, 628, 132, 658

Given numbers are 426, 628, 132, 658
The greatest common divisor of numbers 426, 628, 132, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 628, 132, 658 is 2.

FAQs on GCD of 426, 628, 132, 658 Calculator

1. What is the GCD of 426, 628, 132, 658?

GCD of given numbers 426, 628, 132, 658 is 2


2. How to calculate the greatest common divisor of 426, 628, 132, 658?

We can find the highest common divisor of 426, 628, 132, 658 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 426, 628, 132, 658 i.e 2.


3. How can I use the GCD of 426, 628, 132, 658Calculator?

Out the numbers 426, 628, 132, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.