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GCD of 120, 303, 432, 863 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, 303, 432, 863 quickly. Get the easiest ways to solve the greatest common divisor of 120, 303, 432, 863 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 303, 432, 863 with Factoring?

Given Input numbers are 120, 303, 432, 863

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 863 :

The positive integer divisors of 863 that completely divides 863 are.

1, 863


GCD of numbers is the greatest common divisor

So, the GCD (120, 303, 432, 863) = 1.

Find GCD of 120, 303, 432, 863 using Prime Factorization

Given numbers are 120, 303, 432, 863

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 303 are 3 x 101

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 863 are 863

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

Steps to Calculate GCD of 120, 303, 432, 863 using LCM Formula

Given numbers are 120, 303, 432, 863

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

Apply this formula for all numbers.

Step1:

LCM(120, 303) = 12120

GCD(120, 303) = ( 120 x 303 ) / 12120

= 120 / 303

= 120


Step2:

LCM(3, 432) = 432

GCD(3, 432) = ( 3 x 432 ) / 432

= 3 / 432

= 3


Step3:

LCM(3, 863) = 2589

GCD(3, 863) = ( 3 x 863 ) / 2589

= 3 / 863

= 3


So, Greatest Common Divisor of 120, 303, 432, 863 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 303, 432, 863

Given numbers are 120, 303, 432, 863
The greatest common divisor of numbers 120, 303, 432, 863 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 303, 432, 863 is 1.

FAQs on GCD of 120, 303, 432, 863 Calculator

1. What is the GCD of 120, 303, 432, 863?

GCD of given numbers 120, 303, 432, 863 is 1


2. How to calculate the greatest common divisor of 120, 303, 432, 863?

We can find the highest common divisor of 120, 303, 432, 863 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, 303, 432, 863 i.e 1.


3. How can I use the GCD of 120, 303, 432, 863Calculator?

Out the numbers 120, 303, 432, 863 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.