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GCD of 130, 482, 874, 542 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, 482, 874, 542 quickly. Get the easiest ways to solve the greatest common divisor of 130, 482, 874, 542 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 482, 874, 542 with Factoring?

Given Input numbers are 130, 482, 874, 542

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 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542


GCD of numbers is the greatest common divisor

So, the GCD (130, 482, 874, 542) = 2.

Find GCD of 130, 482, 874, 542 using Prime Factorization

Given numbers are 130, 482, 874, 542

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 482 are 2 x 241

Prime factors of 874 are 2 x 19 x 23

Prime factors of 542 are 2 x 271

The highest common occurrence is 21

Therefore, GCD of 130, 482, 874, 542 is 2.

Steps to Calculate GCD of 130, 482, 874, 542 using LCM Formula

Given numbers are 130, 482, 874, 542

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

Apply this formula for all numbers.

Step1:

LCM(130, 482) = 31330

GCD(130, 482) = ( 130 x 482 ) / 31330

= 130 / 482

= 130


Step2:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2


Step3:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2


So, Greatest Common Divisor of 130, 482, 874, 542 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 482, 874, 542

Given numbers are 130, 482, 874, 542
The greatest common divisor of numbers 130, 482, 874, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 482, 874, 542 is 2.

FAQs on GCD of 130, 482, 874, 542 Calculator

1. What is the GCD of 130, 482, 874, 542?

GCD of given numbers 130, 482, 874, 542 is 2


2. How to calculate the greatest common divisor of 130, 482, 874, 542?

We can find the highest common divisor of 130, 482, 874, 542 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, 482, 874, 542 i.e 2.


3. How can I use the GCD of 130, 482, 874, 542Calculator?

Out the numbers 130, 482, 874, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.