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GCD of 117, 384, 969, 113 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, 384, 969, 113 quickly. Get the easiest ways to solve the greatest common divisor of 117, 384, 969, 113 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 117, 384, 969, 113 with Factoring?

Given Input numbers are 117, 384, 969, 113

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113


GCD of numbers is the greatest common divisor

So, the GCD (117, 384, 969, 113) = 1.

Find GCD of 117, 384, 969, 113 using Prime Factorization

Given numbers are 117, 384, 969, 113

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 969 are 3 x 17 x 19

Prime factors of 113 are 113

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

Steps to Calculate GCD of 117, 384, 969, 113 using LCM Formula

Given numbers are 117, 384, 969, 113

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

Apply this formula for all numbers.

Step1:

LCM(117, 384) = 14976

GCD(117, 384) = ( 117 x 384 ) / 14976

= 117 / 384

= 117


Step2:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3


Step3:

LCM(3, 113) = 339

GCD(3, 113) = ( 3 x 113 ) / 339

= 3 / 113

= 3


So, Greatest Common Divisor of 117, 384, 969, 113 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 117, 384, 969, 113

Given numbers are 117, 384, 969, 113
The greatest common divisor of numbers 117, 384, 969, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 384, 969, 113 is 1.

FAQs on GCD of 117, 384, 969, 113 Calculator

1. What is the GCD of 117, 384, 969, 113?

GCD of given numbers 117, 384, 969, 113 is 1


2. How to calculate the greatest common divisor of 117, 384, 969, 113?

We can find the highest common divisor of 117, 384, 969, 113 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, 384, 969, 113 i.e 1.


3. How can I use the GCD of 117, 384, 969, 113Calculator?

Out the numbers 117, 384, 969, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.