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GCD of 130, 426, 654, 442 Calculator

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


Online GCD Calculator is useful to find the GCD of 130, 426, 654, 442 quickly. Get the easiest ways to solve the greatest common divisor of 130, 426, 654, 442 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 426, 654, 442 with Factoring?

Given Input numbers are 130, 426, 654, 442

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 426 :

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

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442


GCD of numbers is the greatest common divisor

So, the GCD (130, 426, 654, 442) = 2.

Find GCD of 130, 426, 654, 442 using Prime Factorization

Given numbers are 130, 426, 654, 442

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 426 are 2 x 3 x 71

Prime factors of 654 are 2 x 3 x 109

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 21

Therefore, GCD of 130, 426, 654, 442 is 2.

Steps to Calculate GCD of 130, 426, 654, 442 using LCM Formula

Given numbers are 130, 426, 654, 442

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

Apply this formula for all numbers.

Step1:

LCM(130, 426) = 27690

GCD(130, 426) = ( 130 x 426 ) / 27690

= 130 / 426

= 130


Step2:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2


Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2


So, Greatest Common Divisor of 130, 426, 654, 442 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 426, 654, 442

Given numbers are 130, 426, 654, 442
The greatest common divisor of numbers 130, 426, 654, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 426, 654, 442 is 2.

FAQs on GCD of 130, 426, 654, 442 Calculator

1. What is the GCD of 130, 426, 654, 442?

GCD of given numbers 130, 426, 654, 442 is 2


2. How to calculate the greatest common divisor of 130, 426, 654, 442?

We can find the highest common divisor of 130, 426, 654, 442 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 130, 426, 654, 442 i.e 2.


3. How can I use the GCD of 130, 426, 654, 442Calculator?

Out the numbers 130, 426, 654, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.