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GCD of 780, 222, 552, 243 Calculator

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


Online GCD Calculator is useful to find the GCD of 780, 222, 552, 243 quickly. Get the easiest ways to solve the greatest common divisor of 780, 222, 552, 243 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 222, 552, 243 with Factoring?

Given Input numbers are 780, 222, 552, 243

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243


GCD of numbers is the greatest common divisor

So, the GCD (780, 222, 552, 243) = 3.

Find GCD of 780, 222, 552, 243 using Prime Factorization

Given numbers are 780, 222, 552, 243

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 222 are 2 x 3 x 37

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 780, 222, 552, 243 is 3.

Steps to Calculate GCD of 780, 222, 552, 243 using LCM Formula

Given numbers are 780, 222, 552, 243

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

Apply this formula for all numbers.

Step1:

LCM(780, 222) = 28860

GCD(780, 222) = ( 780 x 222 ) / 28860

= 780 / 222

= 780


Step2:

LCM(6, 552) = 552

GCD(6, 552) = ( 6 x 552 ) / 552

= 6 / 552

= 6


Step3:

LCM(6, 243) = 486

GCD(6, 243) = ( 6 x 243 ) / 486

= 6 / 243

= 6


So, Greatest Common Divisor of 780, 222, 552, 243 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 222, 552, 243

Given numbers are 780, 222, 552, 243
The greatest common divisor of numbers 780, 222, 552, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 222, 552, 243 is 3.

FAQs on GCD of 780, 222, 552, 243 Calculator

1. What is the GCD of 780, 222, 552, 243?

GCD of given numbers 780, 222, 552, 243 is 3


2. How to calculate the greatest common divisor of 780, 222, 552, 243?

We can find the highest common divisor of 780, 222, 552, 243 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 780, 222, 552, 243 i.e 3.


3. How can I use the GCD of 780, 222, 552, 243Calculator?

Out the numbers 780, 222, 552, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.