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GCD of 126, 780, 285, 627 Calculator

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


Online GCD Calculator is useful to find the GCD of 126, 780, 285, 627 quickly. Get the easiest ways to solve the greatest common divisor of 126, 780, 285, 627 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 126, 780, 285, 627 with Factoring?

Given Input numbers are 126, 780, 285, 627

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627


GCD of numbers is the greatest common divisor

So, the GCD (126, 780, 285, 627) = 3.

Find GCD of 126, 780, 285, 627 using Prime Factorization

Given numbers are 126, 780, 285, 627

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

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

Prime factors of 285 are 3 x 5 x 19

Prime factors of 627 are 3 x 11 x 19

The highest common occurrence is 31

Therefore, GCD of 126, 780, 285, 627 is 3.

Steps to Calculate GCD of 126, 780, 285, 627 using LCM Formula

Given numbers are 126, 780, 285, 627

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

Apply this formula for all numbers.

Step1:

LCM(126, 780) = 16380

GCD(126, 780) = ( 126 x 780 ) / 16380

= 126 / 780

= 126


Step2:

LCM(6, 285) = 570

GCD(6, 285) = ( 6 x 285 ) / 570

= 6 / 285

= 6


Step3:

LCM(3, 627) = 627

GCD(3, 627) = ( 3 x 627 ) / 627

= 3 / 627

= 3


So, Greatest Common Divisor of 126, 780, 285, 627 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 126, 780, 285, 627

Given numbers are 126, 780, 285, 627
The greatest common divisor of numbers 126, 780, 285, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 780, 285, 627 is 3.

FAQs on GCD of 126, 780, 285, 627 Calculator

1. What is the GCD of 126, 780, 285, 627?

GCD of given numbers 126, 780, 285, 627 is 3


2. How to calculate the greatest common divisor of 126, 780, 285, 627?

We can find the highest common divisor of 126, 780, 285, 627 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 126, 780, 285, 627 i.e 3.


3. How can I use the GCD of 126, 780, 285, 627Calculator?

Out the numbers 126, 780, 285, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.