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GCD of 120, 396, 793, 357 Calculator

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


Online GCD Calculator is useful to find the GCD of 120, 396, 793, 357 quickly. Get the easiest ways to solve the greatest common divisor of 120, 396, 793, 357 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 396, 793, 357 with Factoring?

Given Input numbers are 120, 396, 793, 357

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357


GCD of numbers is the greatest common divisor

So, the GCD (120, 396, 793, 357) = 1.

Find GCD of 120, 396, 793, 357 using Prime Factorization

Given numbers are 120, 396, 793, 357

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 793 are 13 x 61

Prime factors of 357 are 3 x 7 x 17

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

Steps to Calculate GCD of 120, 396, 793, 357 using LCM Formula

Given numbers are 120, 396, 793, 357

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

Apply this formula for all numbers.

Step1:

LCM(120, 396) = 3960

GCD(120, 396) = ( 120 x 396 ) / 3960

= 120 / 396

= 120


Step2:

LCM(12, 793) = 9516

GCD(12, 793) = ( 12 x 793 ) / 9516

= 12 / 793

= 12


Step3:

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

= 1 / 357

= 1


So, Greatest Common Divisor of 120, 396, 793, 357 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 396, 793, 357

Given numbers are 120, 396, 793, 357
The greatest common divisor of numbers 120, 396, 793, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 396, 793, 357 is 1.

FAQs on GCD of 120, 396, 793, 357 Calculator

1. What is the GCD of 120, 396, 793, 357?

GCD of given numbers 120, 396, 793, 357 is 1


2. How to calculate the greatest common divisor of 120, 396, 793, 357?

We can find the highest common divisor of 120, 396, 793, 357 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 120, 396, 793, 357 i.e 1.


3. How can I use the GCD of 120, 396, 793, 357Calculator?

Out the numbers 120, 396, 793, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.