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GCD of 654, 981, 360, 651 Calculator

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


Online GCD Calculator is useful to find the GCD of 654, 981, 360, 651 quickly. Get the easiest ways to solve the greatest common divisor of 654, 981, 360, 651 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 654, 981, 360, 651 with Factoring?

Given Input numbers are 654, 981, 360, 651

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651


GCD of numbers is the greatest common divisor

So, the GCD (654, 981, 360, 651) = 3.

Find GCD of 654, 981, 360, 651 using Prime Factorization

Given numbers are 654, 981, 360, 651

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 981 are 3 x 3 x 109

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 651 are 3 x 7 x 31

The highest common occurrence is 31

Therefore, GCD of 654, 981, 360, 651 is 3.

Steps to Calculate GCD of 654, 981, 360, 651 using LCM Formula

Given numbers are 654, 981, 360, 651

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

Apply this formula for all numbers.

Step1:

LCM(654, 981) = 1962

GCD(654, 981) = ( 654 x 981 ) / 1962

= 654 / 981

= 654


Step2:

LCM(327, 360) = 39240

GCD(327, 360) = ( 327 x 360 ) / 39240

= 327 / 360

= 327


Step3:

LCM(3, 651) = 651

GCD(3, 651) = ( 3 x 651 ) / 651

= 3 / 651

= 3


So, Greatest Common Divisor of 654, 981, 360, 651 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 654, 981, 360, 651

Given numbers are 654, 981, 360, 651
The greatest common divisor of numbers 654, 981, 360, 651 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 981, 360, 651 is 3.

FAQs on GCD of 654, 981, 360, 651 Calculator

1. What is the GCD of 654, 981, 360, 651?

GCD of given numbers 654, 981, 360, 651 is 3


2. How to calculate the greatest common divisor of 654, 981, 360, 651?

We can find the highest common divisor of 654, 981, 360, 651 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 654, 981, 360, 651 i.e 3.


3. How can I use the GCD of 654, 981, 360, 651Calculator?

Out the numbers 654, 981, 360, 651 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.