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GCD of 132, 972, 101 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, 972, 101 quickly. Get the easiest ways to solve the greatest common divisor of 132, 972, 101 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 132, 972, 101 with Factoring?

Given Input numbers are 132, 972, 101

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101


GCD of numbers is the greatest common divisor

So, the GCD (132, 972, 101) = 1.

Find GCD of 132, 972, 101 using Prime Factorization

Given numbers are 132, 972, 101

The list of prime factors of all numbers are

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 101 are 101

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

Steps to Calculate GCD of 132, 972, 101 using LCM Formula

Given numbers are 132, 972, 101

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

Apply this formula for all numbers.

Step1:

LCM(132, 972) = 10692

GCD(132, 972) = ( 132 x 972 ) / 10692

= 132 / 972

= 132


Step2:

LCM(12, 101) = 1212

GCD(12, 101) = ( 12 x 101 ) / 1212

= 12 / 101

= 12


So, Greatest Common Divisor of 132, 972, 101 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 132, 972, 101

Given numbers are 132, 972, 101
The greatest common divisor of numbers 132, 972, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 972, 101 is 1.

FAQs on GCD of 132, 972, 101 Calculator

1. What is the GCD of 132, 972, 101?

GCD of given numbers 132, 972, 101 is 1


2. How to calculate the greatest common divisor of 132, 972, 101?

We can find the highest common divisor of 132, 972, 101 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, 972, 101 i.e 1.


3. How can I use the GCD of 132, 972, 101Calculator?

Out the numbers 132, 972, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.