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GCD of 470, 294, 96, 117 Calculator

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


Online GCD Calculator is useful to find the GCD of 470, 294, 96, 117 quickly. Get the easiest ways to solve the greatest common divisor of 470, 294, 96, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 470, 294, 96, 117 with Factoring?

Given Input numbers are 470, 294, 96, 117

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 117 :

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

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (470, 294, 96, 117) = 1.

Find GCD of 470, 294, 96, 117 using Prime Factorization

Given numbers are 470, 294, 96, 117

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 470, 294, 96, 117 using LCM Formula

Given numbers are 470, 294, 96, 117

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

Apply this formula for all numbers.

Step1:

LCM(470, 294) = 69090

GCD(470, 294) = ( 470 x 294 ) / 69090

= 470 / 294

= 470


Step2:

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

= 2 / 96

= 2


Step3:

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

= 2 / 117

= 2


So, Greatest Common Divisor of 470, 294, 96, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 470, 294, 96, 117

Given numbers are 470, 294, 96, 117
The greatest common divisor of numbers 470, 294, 96, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 294, 96, 117 is 1.

FAQs on GCD of 470, 294, 96, 117 Calculator

1. What is the GCD of 470, 294, 96, 117?

GCD of given numbers 470, 294, 96, 117 is 1


2. How to calculate the greatest common divisor of 470, 294, 96, 117?

We can find the highest common divisor of 470, 294, 96, 117 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 470, 294, 96, 117 i.e 1.


3. How can I use the GCD of 470, 294, 96, 117Calculator?

Out the numbers 470, 294, 96, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.