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GCD of 246, 102, 264, 138 Calculator

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


Online GCD Calculator is useful to find the GCD of 246, 102, 264, 138 quickly. Get the easiest ways to solve the greatest common divisor of 246, 102, 264, 138 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 246, 102, 264, 138 with Factoring?

Given Input numbers are 246, 102, 264, 138

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

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 102 :

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138


GCD of numbers is the greatest common divisor

So, the GCD (246, 102, 264, 138) = 6.

Find GCD of 246, 102, 264, 138 using Prime Factorization

Given numbers are 246, 102, 264, 138

The list of prime factors of all numbers are

Prime factors of 246 are 2 x 3 x 41

Prime factors of 102 are 2 x 3 x 17

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 21 x 31

Therefore, GCD of 246, 102, 264, 138 is 6.

Steps to Calculate GCD of 246, 102, 264, 138 using LCM Formula

Given numbers are 246, 102, 264, 138

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

Apply this formula for all numbers.

Step1:

LCM(246, 102) = 4182

GCD(246, 102) = ( 246 x 102 ) / 4182

= 246 / 102

= 246


Step2:

LCM(6, 264) = 264

GCD(6, 264) = ( 6 x 264 ) / 264

= 6 / 264

= 6


Step3:

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

= 6 / 138

= 6


So, Greatest Common Divisor of 246, 102, 264, 138 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 246, 102, 264, 138

Given numbers are 246, 102, 264, 138
The greatest common divisor of numbers 246, 102, 264, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 246, 102, 264, 138 is 6.

FAQs on GCD of 246, 102, 264, 138 Calculator

1. What is the GCD of 246, 102, 264, 138?

GCD of given numbers 246, 102, 264, 138 is 6


2. How to calculate the greatest common divisor of 246, 102, 264, 138?

We can find the highest common divisor of 246, 102, 264, 138 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 246, 102, 264, 138 i.e 6.


3. How can I use the GCD of 246, 102, 264, 138Calculator?

Out the numbers 246, 102, 264, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.