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GCD of 102, 882, 237, 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 102, 882, 237, 627 quickly. Get the easiest ways to solve the greatest common divisor of 102, 882, 237, 627 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 102, 882, 237, 627 with Factoring?

Given Input numbers are 102, 882, 237, 627

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

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 (102, 882, 237, 627) = 3.

Find GCD of 102, 882, 237, 627 using Prime Factorization

Given numbers are 102, 882, 237, 627

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 237 are 3 x 79

Prime factors of 627 are 3 x 11 x 19

The highest common occurrence is 31

Therefore, GCD of 102, 882, 237, 627 is 3.

Steps to Calculate GCD of 102, 882, 237, 627 using LCM Formula

Given numbers are 102, 882, 237, 627

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

Apply this formula for all numbers.

Step1:

LCM(102, 882) = 14994

GCD(102, 882) = ( 102 x 882 ) / 14994

= 102 / 882

= 102


Step2:

LCM(6, 237) = 474

GCD(6, 237) = ( 6 x 237 ) / 474

= 6 / 237

= 6


Step3:

LCM(3, 627) = 627

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

= 3 / 627

= 3


So, Greatest Common Divisor of 102, 882, 237, 627 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 102, 882, 237, 627

Given numbers are 102, 882, 237, 627
The greatest common divisor of numbers 102, 882, 237, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 882, 237, 627 is 3.

FAQs on GCD of 102, 882, 237, 627 Calculator

1. What is the GCD of 102, 882, 237, 627?

GCD of given numbers 102, 882, 237, 627 is 3


2. How to calculate the greatest common divisor of 102, 882, 237, 627?

We can find the highest common divisor of 102, 882, 237, 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 102, 882, 237, 627 i.e 3.


3. How can I use the GCD of 102, 882, 237, 627Calculator?

Out the numbers 102, 882, 237, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.