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GCD of 235, 746, 990, 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 235, 746, 990, 117 quickly. Get the easiest ways to solve the greatest common divisor of 235, 746, 990, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 235, 746, 990, 117 with Factoring?

Given Input numbers are 235, 746, 990, 117

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 (235, 746, 990, 117) = 1.

Find GCD of 235, 746, 990, 117 using Prime Factorization

Given numbers are 235, 746, 990, 117

The list of prime factors of all numbers are

Prime factors of 235 are 5 x 47

Prime factors of 746 are 2 x 373

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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 235, 746, 990, 117 using LCM Formula

Given numbers are 235, 746, 990, 117

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

Apply this formula for all numbers.

Step1:

LCM(235, 746) = 175310

GCD(235, 746) = ( 235 x 746 ) / 175310

= 235 / 746

= 235


Step2:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1


Step3:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1


So, Greatest Common Divisor of 235, 746, 990, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 235, 746, 990, 117

Given numbers are 235, 746, 990, 117
The greatest common divisor of numbers 235, 746, 990, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 746, 990, 117 is 1.

FAQs on GCD of 235, 746, 990, 117 Calculator

1. What is the GCD of 235, 746, 990, 117?

GCD of given numbers 235, 746, 990, 117 is 1


2. How to calculate the greatest common divisor of 235, 746, 990, 117?

We can find the highest common divisor of 235, 746, 990, 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 235, 746, 990, 117 i.e 1.


3. How can I use the GCD of 235, 746, 990, 117Calculator?

Out the numbers 235, 746, 990, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.