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GCD of 317, 159, 438, 749 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, 159, 438, 749 quickly. Get the easiest ways to solve the greatest common divisor of 317, 159, 438, 749 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 317, 159, 438, 749 with Factoring?

Given Input numbers are 317, 159, 438, 749

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749


GCD of numbers is the greatest common divisor

So, the GCD (317, 159, 438, 749) = 1.

Find GCD of 317, 159, 438, 749 using Prime Factorization

Given numbers are 317, 159, 438, 749

The list of prime factors of all numbers are

Prime factors of 317 are 317

Prime factors of 159 are 3 x 53

Prime factors of 438 are 2 x 3 x 73

Prime factors of 749 are 7 x 107

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

Steps to Calculate GCD of 317, 159, 438, 749 using LCM Formula

Given numbers are 317, 159, 438, 749

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

Apply this formula for all numbers.

Step1:

LCM(317, 159) = 50403

GCD(317, 159) = ( 317 x 159 ) / 50403

= 317 / 159

= 317


Step2:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1


So, Greatest Common Divisor of 317, 159, 438, 749 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 317, 159, 438, 749

Given numbers are 317, 159, 438, 749
The greatest common divisor of numbers 317, 159, 438, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 159, 438, 749 is 1.

FAQs on GCD of 317, 159, 438, 749 Calculator

1. What is the GCD of 317, 159, 438, 749?

GCD of given numbers 317, 159, 438, 749 is 1


2. How to calculate the greatest common divisor of 317, 159, 438, 749?

We can find the highest common divisor of 317, 159, 438, 749 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, 159, 438, 749 i.e 1.


3. How can I use the GCD of 317, 159, 438, 749Calculator?

Out the numbers 317, 159, 438, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.