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GCD of 131, 574, 189, 283 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, 574, 189, 283 quickly. Get the easiest ways to solve the greatest common divisor of 131, 574, 189, 283 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 131, 574, 189, 283 with Factoring?

Given Input numbers are 131, 574, 189, 283

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 283 :

The positive integer divisors of 283 that completely divides 283 are.

1, 283


GCD of numbers is the greatest common divisor

So, the GCD (131, 574, 189, 283) = 1.

Find GCD of 131, 574, 189, 283 using Prime Factorization

Given numbers are 131, 574, 189, 283

The list of prime factors of all numbers are

Prime factors of 131 are 131

Prime factors of 574 are 2 x 7 x 41

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 283 are 283

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

Steps to Calculate GCD of 131, 574, 189, 283 using LCM Formula

Given numbers are 131, 574, 189, 283

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

Apply this formula for all numbers.

Step1:

LCM(131, 574) = 75194

GCD(131, 574) = ( 131 x 574 ) / 75194

= 131 / 574

= 131


Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


Step3:

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

= 1 / 283

= 1


So, Greatest Common Divisor of 131, 574, 189, 283 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 131, 574, 189, 283

Given numbers are 131, 574, 189, 283
The greatest common divisor of numbers 131, 574, 189, 283 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 574, 189, 283 is 1.

FAQs on GCD of 131, 574, 189, 283 Calculator

1. What is the GCD of 131, 574, 189, 283?

GCD of given numbers 131, 574, 189, 283 is 1


2. How to calculate the greatest common divisor of 131, 574, 189, 283?

We can find the highest common divisor of 131, 574, 189, 283 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, 574, 189, 283 i.e 1.


3. How can I use the GCD of 131, 574, 189, 283Calculator?

Out the numbers 131, 574, 189, 283 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.