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GCD of 132, 509, 212, 889 Calculator

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


Online GCD Calculator is useful to find the GCD of 132, 509, 212, 889 quickly. Get the easiest ways to solve the greatest common divisor of 132, 509, 212, 889 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 132, 509, 212, 889 with Factoring?

Given Input numbers are 132, 509, 212, 889

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

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 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889


GCD of numbers is the greatest common divisor

So, the GCD (132, 509, 212, 889) = 1.

Find GCD of 132, 509, 212, 889 using Prime Factorization

Given numbers are 132, 509, 212, 889

The list of prime factors of all numbers are

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

Prime factors of 509 are 509

Prime factors of 212 are 2 x 2 x 53

Prime factors of 889 are 7 x 127

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

Steps to Calculate GCD of 132, 509, 212, 889 using LCM Formula

Given numbers are 132, 509, 212, 889

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

Apply this formula for all numbers.

Step1:

LCM(132, 509) = 67188

GCD(132, 509) = ( 132 x 509 ) / 67188

= 132 / 509

= 132


Step2:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1


Step3:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1


So, Greatest Common Divisor of 132, 509, 212, 889 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 132, 509, 212, 889

Given numbers are 132, 509, 212, 889
The greatest common divisor of numbers 132, 509, 212, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 509, 212, 889 is 1.

FAQs on GCD of 132, 509, 212, 889 Calculator

1. What is the GCD of 132, 509, 212, 889?

GCD of given numbers 132, 509, 212, 889 is 1


2. How to calculate the greatest common divisor of 132, 509, 212, 889?

We can find the highest common divisor of 132, 509, 212, 889 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 132, 509, 212, 889 i.e 1.


3. How can I use the GCD of 132, 509, 212, 889Calculator?

Out the numbers 132, 509, 212, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.