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GCD of 117, 688, 315, 236 Calculator

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


Online GCD Calculator is useful to find the GCD of 117, 688, 315, 236 quickly. Get the easiest ways to solve the greatest common divisor of 117, 688, 315, 236 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 117, 688, 315, 236 with Factoring?

Given Input numbers are 117, 688, 315, 236

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

Divisors of 117 :

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

1, 3, 9, 13, 39, 117

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236


GCD of numbers is the greatest common divisor

So, the GCD (117, 688, 315, 236) = 1.

Find GCD of 117, 688, 315, 236 using Prime Factorization

Given numbers are 117, 688, 315, 236

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 236 are 2 x 2 x 59

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

Steps to Calculate GCD of 117, 688, 315, 236 using LCM Formula

Given numbers are 117, 688, 315, 236

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

Apply this formula for all numbers.

Step1:

LCM(117, 688) = 80496

GCD(117, 688) = ( 117 x 688 ) / 80496

= 117 / 688

= 117


Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1


Step3:

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

= 1 / 236

= 1


So, Greatest Common Divisor of 117, 688, 315, 236 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 117, 688, 315, 236

Given numbers are 117, 688, 315, 236
The greatest common divisor of numbers 117, 688, 315, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 688, 315, 236 is 1.

FAQs on GCD of 117, 688, 315, 236 Calculator

1. What is the GCD of 117, 688, 315, 236?

GCD of given numbers 117, 688, 315, 236 is 1


2. How to calculate the greatest common divisor of 117, 688, 315, 236?

We can find the highest common divisor of 117, 688, 315, 236 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 117, 688, 315, 236 i.e 1.


3. How can I use the GCD of 117, 688, 315, 236Calculator?

Out the numbers 117, 688, 315, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.