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GCD of 147, 660, 255, 108 Calculator

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


Online GCD Calculator is useful to find the GCD of 147, 660, 255, 108 quickly. Get the easiest ways to solve the greatest common divisor of 147, 660, 255, 108 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 147, 660, 255, 108 with Factoring?

Given Input numbers are 147, 660, 255, 108

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108


GCD of numbers is the greatest common divisor

So, the GCD (147, 660, 255, 108) = 3.

Find GCD of 147, 660, 255, 108 using Prime Factorization

Given numbers are 147, 660, 255, 108

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 255 are 3 x 5 x 17

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 147, 660, 255, 108 is 3.

Steps to Calculate GCD of 147, 660, 255, 108 using LCM Formula

Given numbers are 147, 660, 255, 108

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

Apply this formula for all numbers.

Step1:

LCM(147, 660) = 32340

GCD(147, 660) = ( 147 x 660 ) / 32340

= 147 / 660

= 147


Step2:

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

= 3 / 255

= 3


Step3:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3


So, Greatest Common Divisor of 147, 660, 255, 108 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 147, 660, 255, 108

Given numbers are 147, 660, 255, 108
The greatest common divisor of numbers 147, 660, 255, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 660, 255, 108 is 3.

FAQs on GCD of 147, 660, 255, 108 Calculator

1. What is the GCD of 147, 660, 255, 108?

GCD of given numbers 147, 660, 255, 108 is 3


2. How to calculate the greatest common divisor of 147, 660, 255, 108?

We can find the highest common divisor of 147, 660, 255, 108 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 147, 660, 255, 108 i.e 3.


3. How can I use the GCD of 147, 660, 255, 108Calculator?

Out the numbers 147, 660, 255, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.