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GCD of 472, 114, 634, 135 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 114, 634, 135 quickly. Get the easiest ways to solve the greatest common divisor of 472, 114, 634, 135 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 114, 634, 135 with Factoring?

Given Input numbers are 472, 114, 634, 135

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135


GCD of numbers is the greatest common divisor

So, the GCD (472, 114, 634, 135) = 1.

Find GCD of 472, 114, 634, 135 using Prime Factorization

Given numbers are 472, 114, 634, 135

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 114 are 2 x 3 x 19

Prime factors of 634 are 2 x 317

Prime factors of 135 are 3 x 3 x 3 x 5

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

Steps to Calculate GCD of 472, 114, 634, 135 using LCM Formula

Given numbers are 472, 114, 634, 135

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

Apply this formula for all numbers.

Step1:

LCM(472, 114) = 26904

GCD(472, 114) = ( 472 x 114 ) / 26904

= 472 / 114

= 472


Step2:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2


Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2


So, Greatest Common Divisor of 472, 114, 634, 135 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 114, 634, 135

Given numbers are 472, 114, 634, 135
The greatest common divisor of numbers 472, 114, 634, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 114, 634, 135 is 1.

FAQs on GCD of 472, 114, 634, 135 Calculator

1. What is the GCD of 472, 114, 634, 135?

GCD of given numbers 472, 114, 634, 135 is 1


2. How to calculate the greatest common divisor of 472, 114, 634, 135?

We can find the highest common divisor of 472, 114, 634, 135 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 472, 114, 634, 135 i.e 1.


3. How can I use the GCD of 472, 114, 634, 135Calculator?

Out the numbers 472, 114, 634, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.