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GCD of 663, 118, 75 Calculator

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


Online GCD Calculator is useful to find the GCD of 663, 118, 75 quickly. Get the easiest ways to solve the greatest common divisor of 663, 118, 75 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 663, 118, 75 with Factoring?

Given Input numbers are 663, 118, 75

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

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 75 :

The positive integer divisors of 75 that completely divides 75 are.

1, 3, 5, 15, 25, 75


GCD of numbers is the greatest common divisor

So, the GCD (663, 118, 75) = 1.

Find GCD of 663, 118, 75 using Prime Factorization

Given numbers are 663, 118, 75

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 118 are 2 x 59

Prime factors of 75 are 3 x 5 x 5

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

Steps to Calculate GCD of 663, 118, 75 using LCM Formula

Given numbers are 663, 118, 75

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

Apply this formula for all numbers.

Step1:

LCM(663, 118) = 78234

GCD(663, 118) = ( 663 x 118 ) / 78234

= 663 / 118

= 663


Step2:

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

= 1 / 75

= 1


So, Greatest Common Divisor of 663, 118, 75 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 663, 118, 75

Given numbers are 663, 118, 75
The greatest common divisor of numbers 663, 118, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 118, 75 is 1.

FAQs on GCD of 663, 118, 75 Calculator

1. What is the GCD of 663, 118, 75?

GCD of given numbers 663, 118, 75 is 1


2. How to calculate the greatest common divisor of 663, 118, 75?

We can find the highest common divisor of 663, 118, 75 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 663, 118, 75 i.e 1.


3. How can I use the GCD of 663, 118, 75Calculator?

Out the numbers 663, 118, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.