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GCD of 663, 117, 933, 742 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, 117, 933, 742 quickly. Get the easiest ways to solve the greatest common divisor of 663, 117, 933, 742 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 663, 117, 933, 742 with Factoring?

Given Input numbers are 663, 117, 933, 742

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 117 :

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

1, 3, 9, 13, 39, 117

Divisors of 933 :

The positive integer divisors of 933 that completely divides 933 are.

1, 3, 311, 933

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742


GCD of numbers is the greatest common divisor

So, the GCD (663, 117, 933, 742) = 1.

Find GCD of 663, 117, 933, 742 using Prime Factorization

Given numbers are 663, 117, 933, 742

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 117 are 3 x 3 x 13

Prime factors of 933 are 3 x 311

Prime factors of 742 are 2 x 7 x 53

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

Steps to Calculate GCD of 663, 117, 933, 742 using LCM Formula

Given numbers are 663, 117, 933, 742

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

Apply this formula for all numbers.

Step1:

LCM(663, 117) = 1989

GCD(663, 117) = ( 663 x 117 ) / 1989

= 663 / 117

= 663


Step2:

LCM(39, 933) = 12129

GCD(39, 933) = ( 39 x 933 ) / 12129

= 39 / 933

= 39


Step3:

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

= 3 / 742

= 3


So, Greatest Common Divisor of 663, 117, 933, 742 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 663, 117, 933, 742

Given numbers are 663, 117, 933, 742
The greatest common divisor of numbers 663, 117, 933, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 117, 933, 742 is 1.

FAQs on GCD of 663, 117, 933, 742 Calculator

1. What is the GCD of 663, 117, 933, 742?

GCD of given numbers 663, 117, 933, 742 is 1


2. How to calculate the greatest common divisor of 663, 117, 933, 742?

We can find the highest common divisor of 663, 117, 933, 742 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, 117, 933, 742 i.e 1.


3. How can I use the GCD of 663, 117, 933, 742Calculator?

Out the numbers 663, 117, 933, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.