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GCD of 120, 660, 489, 332 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, 660, 489, 332 quickly. Get the easiest ways to solve the greatest common divisor of 120, 660, 489, 332 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 660, 489, 332 with Factoring?

Given Input numbers are 120, 660, 489, 332

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332


GCD of numbers is the greatest common divisor

So, the GCD (120, 660, 489, 332) = 1.

Find GCD of 120, 660, 489, 332 using Prime Factorization

Given numbers are 120, 660, 489, 332

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 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 489 are 3 x 163

Prime factors of 332 are 2 x 2 x 83

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

Steps to Calculate GCD of 120, 660, 489, 332 using LCM Formula

Given numbers are 120, 660, 489, 332

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

Apply this formula for all numbers.

Step1:

LCM(120, 660) = 1320

GCD(120, 660) = ( 120 x 660 ) / 1320

= 120 / 660

= 120


Step2:

LCM(60, 489) = 9780

GCD(60, 489) = ( 60 x 489 ) / 9780

= 60 / 489

= 60


Step3:

LCM(3, 332) = 996

GCD(3, 332) = ( 3 x 332 ) / 996

= 3 / 332

= 3


So, Greatest Common Divisor of 120, 660, 489, 332 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 660, 489, 332

Given numbers are 120, 660, 489, 332
The greatest common divisor of numbers 120, 660, 489, 332 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 660, 489, 332 is 1.

FAQs on GCD of 120, 660, 489, 332 Calculator

1. What is the GCD of 120, 660, 489, 332?

GCD of given numbers 120, 660, 489, 332 is 1


2. How to calculate the greatest common divisor of 120, 660, 489, 332?

We can find the highest common divisor of 120, 660, 489, 332 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, 660, 489, 332 i.e 1.


3. How can I use the GCD of 120, 660, 489, 332Calculator?

Out the numbers 120, 660, 489, 332 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.