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GCD of 970, 516, 831, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 970, 516, 831, 189 quickly. Get the easiest ways to solve the greatest common divisor of 970, 516, 831, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 970, 516, 831, 189 with Factoring?

Given Input numbers are 970, 516, 831, 189

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 189 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (970, 516, 831, 189) = 1.

Find GCD of 970, 516, 831, 189 using Prime Factorization

Given numbers are 970, 516, 831, 189

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 831 are 3 x 277

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

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

Steps to Calculate GCD of 970, 516, 831, 189 using LCM Formula

Given numbers are 970, 516, 831, 189

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

Apply this formula for all numbers.

Step1:

LCM(970, 516) = 250260

GCD(970, 516) = ( 970 x 516 ) / 250260

= 970 / 516

= 970


Step2:

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

= 2 / 831

= 2


Step3:

LCM(1, 189) = 189

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

= 1 / 189

= 1


So, Greatest Common Divisor of 970, 516, 831, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 970, 516, 831, 189

Given numbers are 970, 516, 831, 189
The greatest common divisor of numbers 970, 516, 831, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 516, 831, 189 is 1.

FAQs on GCD of 970, 516, 831, 189 Calculator

1. What is the GCD of 970, 516, 831, 189?

GCD of given numbers 970, 516, 831, 189 is 1


2. How to calculate the greatest common divisor of 970, 516, 831, 189?

We can find the highest common divisor of 970, 516, 831, 189 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 970, 516, 831, 189 i.e 1.


3. How can I use the GCD of 970, 516, 831, 189Calculator?

Out the numbers 970, 516, 831, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.