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GCD of 131, 824, 634, 354 Calculator

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


Online GCD Calculator is useful to find the GCD of 131, 824, 634, 354 quickly. Get the easiest ways to solve the greatest common divisor of 131, 824, 634, 354 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 131, 824, 634, 354 with Factoring?

Given Input numbers are 131, 824, 634, 354

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

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354


GCD of numbers is the greatest common divisor

So, the GCD (131, 824, 634, 354) = 1.

Find GCD of 131, 824, 634, 354 using Prime Factorization

Given numbers are 131, 824, 634, 354

The list of prime factors of all numbers are

Prime factors of 131 are 131

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 634 are 2 x 317

Prime factors of 354 are 2 x 3 x 59

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

Steps to Calculate GCD of 131, 824, 634, 354 using LCM Formula

Given numbers are 131, 824, 634, 354

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

Apply this formula for all numbers.

Step1:

LCM(131, 824) = 107944

GCD(131, 824) = ( 131 x 824 ) / 107944

= 131 / 824

= 131


Step2:

LCM(1, 634) = 634

GCD(1, 634) = ( 1 x 634 ) / 634

= 1 / 634

= 1


Step3:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1


So, Greatest Common Divisor of 131, 824, 634, 354 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 131, 824, 634, 354

Given numbers are 131, 824, 634, 354
The greatest common divisor of numbers 131, 824, 634, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 824, 634, 354 is 1.

FAQs on GCD of 131, 824, 634, 354 Calculator

1. What is the GCD of 131, 824, 634, 354?

GCD of given numbers 131, 824, 634, 354 is 1


2. How to calculate the greatest common divisor of 131, 824, 634, 354?

We can find the highest common divisor of 131, 824, 634, 354 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 131, 824, 634, 354 i.e 1.


3. How can I use the GCD of 131, 824, 634, 354Calculator?

Out the numbers 131, 824, 634, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.