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GCD of 130, 614, 657, 796 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, 614, 657, 796 quickly. Get the easiest ways to solve the greatest common divisor of 130, 614, 657, 796 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 614, 657, 796 with Factoring?

Given Input numbers are 130, 614, 657, 796

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796


GCD of numbers is the greatest common divisor

So, the GCD (130, 614, 657, 796) = 1.

Find GCD of 130, 614, 657, 796 using Prime Factorization

Given numbers are 130, 614, 657, 796

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 614 are 2 x 307

Prime factors of 657 are 3 x 3 x 73

Prime factors of 796 are 2 x 2 x 199

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 130, 614, 657, 796 using LCM Formula

Given numbers are 130, 614, 657, 796

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

Apply this formula for all numbers.

Step1:

LCM(130, 614) = 39910

GCD(130, 614) = ( 130 x 614 ) / 39910

= 130 / 614

= 130


Step2:

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

= 2 / 657

= 2


Step3:

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

= 1 / 796

= 1


So, Greatest Common Divisor of 130, 614, 657, 796 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 614, 657, 796

Given numbers are 130, 614, 657, 796
The greatest common divisor of numbers 130, 614, 657, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 614, 657, 796 is 1.

FAQs on GCD of 130, 614, 657, 796 Calculator

1. What is the GCD of 130, 614, 657, 796?

GCD of given numbers 130, 614, 657, 796 is 1


2. How to calculate the greatest common divisor of 130, 614, 657, 796?

We can find the highest common divisor of 130, 614, 657, 796 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, 614, 657, 796 i.e 1.


3. How can I use the GCD of 130, 614, 657, 796Calculator?

Out the numbers 130, 614, 657, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.