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GCD of 116, 315, 160, 125 Calculator

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


Online GCD Calculator is useful to find the GCD of 116, 315, 160, 125 quickly. Get the easiest ways to solve the greatest common divisor of 116, 315, 160, 125 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 116, 315, 160, 125 with Factoring?

Given Input numbers are 116, 315, 160, 125

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125


GCD of numbers is the greatest common divisor

So, the GCD (116, 315, 160, 125) = 1.

Find GCD of 116, 315, 160, 125 using Prime Factorization

Given numbers are 116, 315, 160, 125

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 125 are 5 x 5 x 5

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

Steps to Calculate GCD of 116, 315, 160, 125 using LCM Formula

Given numbers are 116, 315, 160, 125

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

Apply this formula for all numbers.

Step1:

LCM(116, 315) = 36540

GCD(116, 315) = ( 116 x 315 ) / 36540

= 116 / 315

= 116


Step2:

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

= 1 / 160

= 1


Step3:

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

= 1 / 125

= 1


So, Greatest Common Divisor of 116, 315, 160, 125 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 116, 315, 160, 125

Given numbers are 116, 315, 160, 125
The greatest common divisor of numbers 116, 315, 160, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 315, 160, 125 is 1.

FAQs on GCD of 116, 315, 160, 125 Calculator

1. What is the GCD of 116, 315, 160, 125?

GCD of given numbers 116, 315, 160, 125 is 1


2. How to calculate the greatest common divisor of 116, 315, 160, 125?

We can find the highest common divisor of 116, 315, 160, 125 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 116, 315, 160, 125 i.e 1.


3. How can I use the GCD of 116, 315, 160, 125Calculator?

Out the numbers 116, 315, 160, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.