GCD of 615, 639, 696, 183 Calculator

Given Input numbers are 615, 639, 696, 183

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 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Greatest Common Divisior

We found the divisors of 615, 639, 696, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 639, 696, 183 is 3.

Therefore, GCD of numbers 615, 639, 696, 183 is 3

Given Input Data is 615, 639, 696, 183

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 639 is 3 x 3 x 71

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 183 is 3 x 61

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(615, 639) = 130995

GCD(615, 639) = ( 615 x 639 ) / 130995

GCD(615, 639) = 392985 / 130995

GCD(615, 639) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 183

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

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

GCD(3, 183) = 549 / 183

GCD(3, 183) = 3

GCD of 615, 639, 696, 183 is 3

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1. What is the GCD of 615, 639, 696, 183?

GCD of 615, 639, 696, 183 is 3

2. Where do I get the detailed procedure to find GCD of 615, 639, 696, 183?

You can find a detailed procedure to find GCD of 615, 639, 696, 183 on our page.

3. How to find GCD of 615, 639, 696, 183 on a calculator?

You can find the GCD of 615, 639, 696, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.