GCD of 615, 972, 27, 278 Calculator

Given Input numbers are 615, 972, 27, 278

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

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

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

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 615, 972, 27, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 972, 27, 278 is 1.

Therefore, GCD of numbers 615, 972, 27, 278 is 1

Given Input Data is 615, 972, 27, 278

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

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 278 is 2 x 139

The above numbers do not have any common prime factor. So GCD is 1

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(615, 972) = 199260

GCD(615, 972) = ( 615 x 972 ) / 199260

GCD(615, 972) = 597780 / 199260

GCD(615, 972) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 27

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

LCM(3, 27) = 27

GCD(3, 27) = ( 3 x 27 ) / 27

GCD(3, 27) = 81 / 27

GCD(3, 27) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 278

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

LCM(3, 278) = 834

GCD(3, 278) = ( 3 x 278 ) / 834

GCD(3, 278) = 834 / 834

GCD(3, 278) = 1

GCD of 615, 972, 27, 278 is 1

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1. What is the GCD of 615, 972, 27, 278?

GCD of 615, 972, 27, 278 is 1

2. Where do I get the detailed procedure to find GCD of 615, 972, 27, 278?

You can find a detailed procedure to find GCD of 615, 972, 27, 278 on our page.

3. How to find GCD of 615, 972, 27, 278 on a calculator?

You can find the GCD of 615, 972, 27, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.