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GCD of 164, 132, 589, 970 Calculator

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


Online GCD Calculator is useful to find the GCD of 164, 132, 589, 970 quickly. Get the easiest ways to solve the greatest common divisor of 164, 132, 589, 970 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 164, 132, 589, 970 with Factoring?

Given Input numbers are 164, 132, 589, 970

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 970 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (164, 132, 589, 970) = 1.

Find GCD of 164, 132, 589, 970 using Prime Factorization

Given numbers are 164, 132, 589, 970

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 589 are 19 x 31

Prime factors of 970 are 2 x 5 x 97

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

Steps to Calculate GCD of 164, 132, 589, 970 using LCM Formula

Given numbers are 164, 132, 589, 970

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

Apply this formula for all numbers.

Step1:

LCM(164, 132) = 5412

GCD(164, 132) = ( 164 x 132 ) / 5412

= 164 / 132

= 164


Step2:

LCM(4, 589) = 2356

GCD(4, 589) = ( 4 x 589 ) / 2356

= 4 / 589

= 4


Step3:

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

= 1 / 970

= 1


So, Greatest Common Divisor of 164, 132, 589, 970 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 164, 132, 589, 970

Given numbers are 164, 132, 589, 970
The greatest common divisor of numbers 164, 132, 589, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 132, 589, 970 is 1.

FAQs on GCD of 164, 132, 589, 970 Calculator

1. What is the GCD of 164, 132, 589, 970?

GCD of given numbers 164, 132, 589, 970 is 1


2. How to calculate the greatest common divisor of 164, 132, 589, 970?

We can find the highest common divisor of 164, 132, 589, 970 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 164, 132, 589, 970 i.e 1.


3. How can I use the GCD of 164, 132, 589, 970Calculator?

Out the numbers 164, 132, 589, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.