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GCD of 120, 921, 994, 351 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, 921, 994, 351 quickly. Get the easiest ways to solve the greatest common divisor of 120, 921, 994, 351 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 921, 994, 351 with Factoring?

Given Input numbers are 120, 921, 994, 351

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351


GCD of numbers is the greatest common divisor

So, the GCD (120, 921, 994, 351) = 1.

Find GCD of 120, 921, 994, 351 using Prime Factorization

Given numbers are 120, 921, 994, 351

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 921 are 3 x 307

Prime factors of 994 are 2 x 7 x 71

Prime factors of 351 are 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 120, 921, 994, 351 using LCM Formula

Given numbers are 120, 921, 994, 351

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

Apply this formula for all numbers.

Step1:

LCM(120, 921) = 36840

GCD(120, 921) = ( 120 x 921 ) / 36840

= 120 / 921

= 120


Step2:

LCM(3, 994) = 2982

GCD(3, 994) = ( 3 x 994 ) / 2982

= 3 / 994

= 3


Step3:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1


So, Greatest Common Divisor of 120, 921, 994, 351 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 921, 994, 351

Given numbers are 120, 921, 994, 351
The greatest common divisor of numbers 120, 921, 994, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 921, 994, 351 is 1.

FAQs on GCD of 120, 921, 994, 351 Calculator

1. What is the GCD of 120, 921, 994, 351?

GCD of given numbers 120, 921, 994, 351 is 1


2. How to calculate the greatest common divisor of 120, 921, 994, 351?

We can find the highest common divisor of 120, 921, 994, 351 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, 921, 994, 351 i.e 1.


3. How can I use the GCD of 120, 921, 994, 351Calculator?

Out the numbers 120, 921, 994, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.