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GCD of 400, 191, 187, 131 Calculator

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


Online GCD Calculator is useful to find the GCD of 400, 191, 187, 131 quickly. Get the easiest ways to solve the greatest common divisor of 400, 191, 187, 131 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 400, 191, 187, 131 with Factoring?

Given Input numbers are 400, 191, 187, 131

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 191 :

The positive integer divisors of 191 that completely divides 191 are.

1, 191

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 131 :

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

1, 131


GCD of numbers is the greatest common divisor

So, the GCD (400, 191, 187, 131) = 1.

Find GCD of 400, 191, 187, 131 using Prime Factorization

Given numbers are 400, 191, 187, 131

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 191 are 191

Prime factors of 187 are 11 x 17

Prime factors of 131 are 131

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

Steps to Calculate GCD of 400, 191, 187, 131 using LCM Formula

Given numbers are 400, 191, 187, 131

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

Apply this formula for all numbers.

Step1:

LCM(400, 191) = 76400

GCD(400, 191) = ( 400 x 191 ) / 76400

= 400 / 191

= 400


Step2:

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

= 1 / 187

= 1


Step3:

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

= 1 / 131

= 1


So, Greatest Common Divisor of 400, 191, 187, 131 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 400, 191, 187, 131

Given numbers are 400, 191, 187, 131
The greatest common divisor of numbers 400, 191, 187, 131 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 191, 187, 131 is 1.

FAQs on GCD of 400, 191, 187, 131 Calculator

1. What is the GCD of 400, 191, 187, 131?

GCD of given numbers 400, 191, 187, 131 is 1


2. How to calculate the greatest common divisor of 400, 191, 187, 131?

We can find the highest common divisor of 400, 191, 187, 131 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 400, 191, 187, 131 i.e 1.


3. How can I use the GCD of 400, 191, 187, 131Calculator?

Out the numbers 400, 191, 187, 131 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.