GCD of 654, 615, 726, 279 Calculator

Given Input numbers are 654, 615, 726, 279

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

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

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 654, 615, 726, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 615, 726, 279 is 3.

Therefore, GCD of numbers 654, 615, 726, 279 is 3

Given Input Data is 654, 615, 726, 279

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 279 is 3 x 3 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(654, 615) = 134070

GCD(654, 615) = ( 654 x 615 ) / 134070

GCD(654, 615) = 402210 / 134070

GCD(654, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 726

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

LCM(3, 726) = 726

GCD(3, 726) = ( 3 x 726 ) / 726

GCD(3, 726) = 2178 / 726

GCD(3, 726) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 279

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

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

GCD(3, 279) = 837 / 279

GCD(3, 279) = 3

GCD of 654, 615, 726, 279 is 3

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1. What is the GCD of 654, 615, 726, 279?

GCD of 654, 615, 726, 279 is 3

2. Where do I get the detailed procedure to find GCD of 654, 615, 726, 279?

You can find a detailed procedure to find GCD of 654, 615, 726, 279 on our page.

3. How to find GCD of 654, 615, 726, 279 on a calculator?

You can find the GCD of 654, 615, 726, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.