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GCD of 249, 135, 567, 220 Calculator

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


Online GCD Calculator is useful to find the GCD of 249, 135, 567, 220 quickly. Get the easiest ways to solve the greatest common divisor of 249, 135, 567, 220 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 249, 135, 567, 220 with Factoring?

Given Input numbers are 249, 135, 567, 220

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220


GCD of numbers is the greatest common divisor

So, the GCD (249, 135, 567, 220) = 1.

Find GCD of 249, 135, 567, 220 using Prime Factorization

Given numbers are 249, 135, 567, 220

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 220 are 2 x 2 x 5 x 11

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

Steps to Calculate GCD of 249, 135, 567, 220 using LCM Formula

Given numbers are 249, 135, 567, 220

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

Apply this formula for all numbers.

Step1:

LCM(249, 135) = 11205

GCD(249, 135) = ( 249 x 135 ) / 11205

= 249 / 135

= 249


Step2:

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

= 3 / 567

= 3


Step3:

LCM(3, 220) = 660

GCD(3, 220) = ( 3 x 220 ) / 660

= 3 / 220

= 3


So, Greatest Common Divisor of 249, 135, 567, 220 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 249, 135, 567, 220

Given numbers are 249, 135, 567, 220
The greatest common divisor of numbers 249, 135, 567, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 135, 567, 220 is 1.

FAQs on GCD of 249, 135, 567, 220 Calculator

1. What is the GCD of 249, 135, 567, 220?

GCD of given numbers 249, 135, 567, 220 is 1


2. How to calculate the greatest common divisor of 249, 135, 567, 220?

We can find the highest common divisor of 249, 135, 567, 220 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 249, 135, 567, 220 i.e 1.


3. How can I use the GCD of 249, 135, 567, 220Calculator?

Out the numbers 249, 135, 567, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.