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GCD of 317, 242, 165, 753 Calculator

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


Online GCD Calculator is useful to find the GCD of 317, 242, 165, 753 quickly. Get the easiest ways to solve the greatest common divisor of 317, 242, 165, 753 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 317, 242, 165, 753 with Factoring?

Given Input numbers are 317, 242, 165, 753

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

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753


GCD of numbers is the greatest common divisor

So, the GCD (317, 242, 165, 753) = 1.

Find GCD of 317, 242, 165, 753 using Prime Factorization

Given numbers are 317, 242, 165, 753

The list of prime factors of all numbers are

Prime factors of 317 are 317

Prime factors of 242 are 2 x 11 x 11

Prime factors of 165 are 3 x 5 x 11

Prime factors of 753 are 3 x 251

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

Steps to Calculate GCD of 317, 242, 165, 753 using LCM Formula

Given numbers are 317, 242, 165, 753

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

Apply this formula for all numbers.

Step1:

LCM(317, 242) = 76714

GCD(317, 242) = ( 317 x 242 ) / 76714

= 317 / 242

= 317


Step2:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1


Step3:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1


So, Greatest Common Divisor of 317, 242, 165, 753 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 317, 242, 165, 753

Given numbers are 317, 242, 165, 753
The greatest common divisor of numbers 317, 242, 165, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 242, 165, 753 is 1.

FAQs on GCD of 317, 242, 165, 753 Calculator

1. What is the GCD of 317, 242, 165, 753?

GCD of given numbers 317, 242, 165, 753 is 1


2. How to calculate the greatest common divisor of 317, 242, 165, 753?

We can find the highest common divisor of 317, 242, 165, 753 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 317, 242, 165, 753 i.e 1.


3. How can I use the GCD of 317, 242, 165, 753Calculator?

Out the numbers 317, 242, 165, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.