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GCD of 132, 177, 713, 892 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, 177, 713, 892 quickly. Get the easiest ways to solve the greatest common divisor of 132, 177, 713, 892 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 132, 177, 713, 892 with Factoring?

Given Input numbers are 132, 177, 713, 892

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 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892


GCD of numbers is the greatest common divisor

So, the GCD (132, 177, 713, 892) = 1.

Find GCD of 132, 177, 713, 892 using Prime Factorization

Given numbers are 132, 177, 713, 892

The list of prime factors of all numbers are

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

Prime factors of 177 are 3 x 59

Prime factors of 713 are 23 x 31

Prime factors of 892 are 2 x 2 x 223

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

Steps to Calculate GCD of 132, 177, 713, 892 using LCM Formula

Given numbers are 132, 177, 713, 892

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

Apply this formula for all numbers.

Step1:

LCM(132, 177) = 7788

GCD(132, 177) = ( 132 x 177 ) / 7788

= 132 / 177

= 132


Step2:

LCM(3, 713) = 2139

GCD(3, 713) = ( 3 x 713 ) / 2139

= 3 / 713

= 3


Step3:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1


So, Greatest Common Divisor of 132, 177, 713, 892 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 132, 177, 713, 892

Given numbers are 132, 177, 713, 892
The greatest common divisor of numbers 132, 177, 713, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 177, 713, 892 is 1.

FAQs on GCD of 132, 177, 713, 892 Calculator

1. What is the GCD of 132, 177, 713, 892?

GCD of given numbers 132, 177, 713, 892 is 1


2. How to calculate the greatest common divisor of 132, 177, 713, 892?

We can find the highest common divisor of 132, 177, 713, 892 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, 177, 713, 892 i.e 1.


3. How can I use the GCD of 132, 177, 713, 892Calculator?

Out the numbers 132, 177, 713, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.