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GCD of 742, 117, 317, 841 Calculator

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


Online GCD Calculator is useful to find the GCD of 742, 117, 317, 841 quickly. Get the easiest ways to solve the greatest common divisor of 742, 117, 317, 841 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 117, 317, 841 with Factoring?

Given Input numbers are 742, 117, 317, 841

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 317 :

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

1, 317

Divisors of 841 :

The positive integer divisors of 841 that completely divides 841 are.

1, 29, 841


GCD of numbers is the greatest common divisor

So, the GCD (742, 117, 317, 841) = 1.

Find GCD of 742, 117, 317, 841 using Prime Factorization

Given numbers are 742, 117, 317, 841

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 117 are 3 x 3 x 13

Prime factors of 317 are 317

Prime factors of 841 are 29 x 29

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

Steps to Calculate GCD of 742, 117, 317, 841 using LCM Formula

Given numbers are 742, 117, 317, 841

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

Apply this formula for all numbers.

Step1:

LCM(742, 117) = 86814

GCD(742, 117) = ( 742 x 117 ) / 86814

= 742 / 117

= 742


Step2:

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

= 1 / 317

= 1


Step3:

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

= 1 / 841

= 1


So, Greatest Common Divisor of 742, 117, 317, 841 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 117, 317, 841

Given numbers are 742, 117, 317, 841
The greatest common divisor of numbers 742, 117, 317, 841 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 117, 317, 841 is 1.

FAQs on GCD of 742, 117, 317, 841 Calculator

1. What is the GCD of 742, 117, 317, 841?

GCD of given numbers 742, 117, 317, 841 is 1


2. How to calculate the greatest common divisor of 742, 117, 317, 841?

We can find the highest common divisor of 742, 117, 317, 841 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 742, 117, 317, 841 i.e 1.


3. How can I use the GCD of 742, 117, 317, 841Calculator?

Out the numbers 742, 117, 317, 841 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.