GCD of 939, 615, 72, 552 Calculator

Given Input numbers are 939, 615, 72, 552

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

Divisors of 939

List of positive integer divisors of 939 that divides 939 without a remainder.

1, 3, 313, 939

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Greatest Common Divisior

We found the divisors of 939, 615, 72, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 939, 615, 72, 552 is 3.

Therefore, GCD of numbers 939, 615, 72, 552 is 3

Given Input Data is 939, 615, 72, 552

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

Prime Factorization of 939 is 3 x 313

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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(939, 615) = 192495

GCD(939, 615) = ( 939 x 615 ) / 192495

GCD(939, 615) = 577485 / 192495

GCD(939, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 552

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

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

GCD(3, 552) = 1656 / 552

GCD(3, 552) = 3

GCD of 939, 615, 72, 552 is 3

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1. What is the GCD of 939, 615, 72, 552?

GCD of 939, 615, 72, 552 is 3

2. Where do I get the detailed procedure to find GCD of 939, 615, 72, 552?

You can find a detailed procedure to find GCD of 939, 615, 72, 552 on our page.

3. How to find GCD of 939, 615, 72, 552 on a calculator?

You can find the GCD of 939, 615, 72, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.