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GCD of 917, 167, 457, 738 Calculator

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


Online GCD Calculator is useful to find the GCD of 917, 167, 457, 738 quickly. Get the easiest ways to solve the greatest common divisor of 917, 167, 457, 738 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 917, 167, 457, 738 with Factoring?

Given Input numbers are 917, 167, 457, 738

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

Divisors of 167 :

The positive integer divisors of 167 that completely divides 167 are.

1, 167

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738


GCD of numbers is the greatest common divisor

So, the GCD (917, 167, 457, 738) = 1.

Find GCD of 917, 167, 457, 738 using Prime Factorization

Given numbers are 917, 167, 457, 738

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

Prime factors of 167 are 167

Prime factors of 457 are 457

Prime factors of 738 are 2 x 3 x 3 x 41

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

Steps to Calculate GCD of 917, 167, 457, 738 using LCM Formula

Given numbers are 917, 167, 457, 738

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

Apply this formula for all numbers.

Step1:

LCM(917, 167) = 153139

GCD(917, 167) = ( 917 x 167 ) / 153139

= 917 / 167

= 917


Step2:

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

= 1 / 457

= 1


Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1


So, Greatest Common Divisor of 917, 167, 457, 738 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 917, 167, 457, 738

Given numbers are 917, 167, 457, 738
The greatest common divisor of numbers 917, 167, 457, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 167, 457, 738 is 1.

FAQs on GCD of 917, 167, 457, 738 Calculator

1. What is the GCD of 917, 167, 457, 738?

GCD of given numbers 917, 167, 457, 738 is 1


2. How to calculate the greatest common divisor of 917, 167, 457, 738?

We can find the highest common divisor of 917, 167, 457, 738 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 917, 167, 457, 738 i.e 1.


3. How can I use the GCD of 917, 167, 457, 738Calculator?

Out the numbers 917, 167, 457, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.