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GCD of 666, 104, 210, 972 Calculator

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


Online GCD Calculator is useful to find the GCD of 666, 104, 210, 972 quickly. Get the easiest ways to solve the greatest common divisor of 666, 104, 210, 972 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 666, 104, 210, 972 with Factoring?

Given Input numbers are 666, 104, 210, 972

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

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972


GCD of numbers is the greatest common divisor

So, the GCD (666, 104, 210, 972) = 2.

Find GCD of 666, 104, 210, 972 using Prime Factorization

Given numbers are 666, 104, 210, 972

The list of prime factors of all numbers are

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 666, 104, 210, 972 is 2.

Steps to Calculate GCD of 666, 104, 210, 972 using LCM Formula

Given numbers are 666, 104, 210, 972

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

Apply this formula for all numbers.

Step1:

LCM(666, 104) = 34632

GCD(666, 104) = ( 666 x 104 ) / 34632

= 666 / 104

= 666


Step2:

LCM(2, 210) = 210

GCD(2, 210) = ( 2 x 210 ) / 210

= 2 / 210

= 2


Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2


So, Greatest Common Divisor of 666, 104, 210, 972 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 666, 104, 210, 972

Given numbers are 666, 104, 210, 972
The greatest common divisor of numbers 666, 104, 210, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 666, 104, 210, 972 is 2.

FAQs on GCD of 666, 104, 210, 972 Calculator

1. What is the GCD of 666, 104, 210, 972?

GCD of given numbers 666, 104, 210, 972 is 2


2. How to calculate the greatest common divisor of 666, 104, 210, 972?

We can find the highest common divisor of 666, 104, 210, 972 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 666, 104, 210, 972 i.e 2.


3. How can I use the GCD of 666, 104, 210, 972Calculator?

Out the numbers 666, 104, 210, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.