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GCD of 764, 355, 172 Calculator

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


Online GCD Calculator is useful to find the GCD of 764, 355, 172 quickly. Get the easiest ways to solve the greatest common divisor of 764, 355, 172 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 764, 355, 172 with Factoring?

Given Input numbers are 764, 355, 172

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172


GCD of numbers is the greatest common divisor

So, the GCD (764, 355, 172) = 1.

Find GCD of 764, 355, 172 using Prime Factorization

Given numbers are 764, 355, 172

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 355 are 5 x 71

Prime factors of 172 are 2 x 2 x 43

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

Steps to Calculate GCD of 764, 355, 172 using LCM Formula

Given numbers are 764, 355, 172

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

Apply this formula for all numbers.

Step1:

LCM(764, 355) = 271220

GCD(764, 355) = ( 764 x 355 ) / 271220

= 764 / 355

= 764


Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1


So, Greatest Common Divisor of 764, 355, 172 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 764, 355, 172

Given numbers are 764, 355, 172
The greatest common divisor of numbers 764, 355, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 355, 172 is 1.

FAQs on GCD of 764, 355, 172 Calculator

1. What is the GCD of 764, 355, 172?

GCD of given numbers 764, 355, 172 is 1


2. How to calculate the greatest common divisor of 764, 355, 172?

We can find the highest common divisor of 764, 355, 172 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 764, 355, 172 i.e 1.


3. How can I use the GCD of 764, 355, 172Calculator?

Out the numbers 764, 355, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.