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GCD of 130, 682, 656, 177 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, 682, 656, 177 quickly. Get the easiest ways to solve the greatest common divisor of 130, 682, 656, 177 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 130, 682, 656, 177 with Factoring?

Given Input numbers are 130, 682, 656, 177

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177


GCD of numbers is the greatest common divisor

So, the GCD (130, 682, 656, 177) = 1.

Find GCD of 130, 682, 656, 177 using Prime Factorization

Given numbers are 130, 682, 656, 177

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 682 are 2 x 11 x 31

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 177 are 3 x 59

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

Steps to Calculate GCD of 130, 682, 656, 177 using LCM Formula

Given numbers are 130, 682, 656, 177

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

Apply this formula for all numbers.

Step1:

LCM(130, 682) = 44330

GCD(130, 682) = ( 130 x 682 ) / 44330

= 130 / 682

= 130


Step2:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2


Step3:

LCM(2, 177) = 354

GCD(2, 177) = ( 2 x 177 ) / 354

= 2 / 177

= 2


So, Greatest Common Divisor of 130, 682, 656, 177 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 130, 682, 656, 177

Given numbers are 130, 682, 656, 177
The greatest common divisor of numbers 130, 682, 656, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 682, 656, 177 is 1.

FAQs on GCD of 130, 682, 656, 177 Calculator

1. What is the GCD of 130, 682, 656, 177?

GCD of given numbers 130, 682, 656, 177 is 1


2. How to calculate the greatest common divisor of 130, 682, 656, 177?

We can find the highest common divisor of 130, 682, 656, 177 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, 682, 656, 177 i.e 1.


3. How can I use the GCD of 130, 682, 656, 177Calculator?

Out the numbers 130, 682, 656, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.