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GCD of 120, 353, 189, 995 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, 353, 189, 995 quickly. Get the easiest ways to solve the greatest common divisor of 120, 353, 189, 995 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 353, 189, 995 with Factoring?

Given Input numbers are 120, 353, 189, 995

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 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 995 :

The positive integer divisors of 995 that completely divides 995 are.

1, 5, 199, 995


GCD of numbers is the greatest common divisor

So, the GCD (120, 353, 189, 995) = 1.

Find GCD of 120, 353, 189, 995 using Prime Factorization

Given numbers are 120, 353, 189, 995

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 353 are 353

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 995 are 5 x 199

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

Steps to Calculate GCD of 120, 353, 189, 995 using LCM Formula

Given numbers are 120, 353, 189, 995

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

Apply this formula for all numbers.

Step1:

LCM(120, 353) = 42360

GCD(120, 353) = ( 120 x 353 ) / 42360

= 120 / 353

= 120


Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


Step3:

LCM(1, 995) = 995

GCD(1, 995) = ( 1 x 995 ) / 995

= 1 / 995

= 1


So, Greatest Common Divisor of 120, 353, 189, 995 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 353, 189, 995

Given numbers are 120, 353, 189, 995
The greatest common divisor of numbers 120, 353, 189, 995 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 353, 189, 995 is 1.

FAQs on GCD of 120, 353, 189, 995 Calculator

1. What is the GCD of 120, 353, 189, 995?

GCD of given numbers 120, 353, 189, 995 is 1


2. How to calculate the greatest common divisor of 120, 353, 189, 995?

We can find the highest common divisor of 120, 353, 189, 995 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, 353, 189, 995 i.e 1.


3. How can I use the GCD of 120, 353, 189, 995Calculator?

Out the numbers 120, 353, 189, 995 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.