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GCD of 246, 489, 138, 975 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, 489, 138, 975 quickly. Get the easiest ways to solve the greatest common divisor of 246, 489, 138, 975 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 246, 489, 138, 975 with Factoring?

Given Input numbers are 246, 489, 138, 975

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 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 138 :

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

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975


GCD of numbers is the greatest common divisor

So, the GCD (246, 489, 138, 975) = 3.

Find GCD of 246, 489, 138, 975 using Prime Factorization

Given numbers are 246, 489, 138, 975

The list of prime factors of all numbers are

Prime factors of 246 are 2 x 3 x 41

Prime factors of 489 are 3 x 163

Prime factors of 138 are 2 x 3 x 23

Prime factors of 975 are 3 x 5 x 5 x 13

The highest common occurrence is 31

Therefore, GCD of 246, 489, 138, 975 is 3.

Steps to Calculate GCD of 246, 489, 138, 975 using LCM Formula

Given numbers are 246, 489, 138, 975

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

Apply this formula for all numbers.

Step1:

LCM(246, 489) = 40098

GCD(246, 489) = ( 246 x 489 ) / 40098

= 246 / 489

= 246


Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3


Step3:

LCM(3, 975) = 975

GCD(3, 975) = ( 3 x 975 ) / 975

= 3 / 975

= 3


So, Greatest Common Divisor of 246, 489, 138, 975 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 246, 489, 138, 975

Given numbers are 246, 489, 138, 975
The greatest common divisor of numbers 246, 489, 138, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 246, 489, 138, 975 is 3.

FAQs on GCD of 246, 489, 138, 975 Calculator

1. What is the GCD of 246, 489, 138, 975?

GCD of given numbers 246, 489, 138, 975 is 3


2. How to calculate the greatest common divisor of 246, 489, 138, 975?

We can find the highest common divisor of 246, 489, 138, 975 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, 489, 138, 975 i.e 3.


3. How can I use the GCD of 246, 489, 138, 975Calculator?

Out the numbers 246, 489, 138, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.