GCD of 978, 495, 615 Calculator

Given Input numbers are 978, 495, 615

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

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 615

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

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

Greatest Common Divisior

We found the divisors of 978, 495, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 978, 495, 615 is 3.

Therefore, GCD of numbers 978, 495, 615 is 3

Given Input Data is 978, 495, 615

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

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 615 is 3 x 5 x 41

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(978, 495) = 161370

GCD(978, 495) = ( 978 x 495 ) / 161370

GCD(978, 495) = 484110 / 161370

GCD(978, 495) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 615

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

LCM(3, 615) = 615

GCD(3, 615) = ( 3 x 615 ) / 615

GCD(3, 615) = 1845 / 615

GCD(3, 615) = 3

GCD of 978, 495, 615 is 3

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1. What is the GCD of 978, 495, 615?

GCD of 978, 495, 615 is 3

2. Where do I get the detailed procedure to find GCD of 978, 495, 615?

You can find a detailed procedure to find GCD of 978, 495, 615 on our page.

3. How to find GCD of 978, 495, 615 on a calculator?

You can find the GCD of 978, 495, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.