GCD of 708, 552, 15, 150 Calculator

Given Input numbers are 708, 552, 15, 150

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 708, 552, 15, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 552, 15, 150 is 3.

Therefore, GCD of numbers 708, 552, 15, 150 is 3

Given Input Data is 708, 552, 15, 150

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(708, 552) = 32568

GCD(708, 552) = ( 708 x 552 ) / 32568

GCD(708, 552) = 390816 / 32568

GCD(708, 552) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 15

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

LCM(12, 15) = 60

GCD(12, 15) = ( 12 x 15 ) / 60

GCD(12, 15) = 180 / 60

GCD(12, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 150

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

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

GCD(3, 150) = 450 / 150

GCD(3, 150) = 3

GCD of 708, 552, 15, 150 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 499, 21, 516
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• GCD of 910, 430, 37, 300
• GCD of 117, 140, 16, 917
• GCD of 182, 755, 48, 135

1. What is the GCD of 708, 552, 15, 150?

GCD of 708, 552, 15, 150 is 3

2. Where do I get the detailed procedure to find GCD of 708, 552, 15, 150?

You can find a detailed procedure to find GCD of 708, 552, 15, 150 on our page.

3. How to find GCD of 708, 552, 15, 150 on a calculator?

You can find the GCD of 708, 552, 15, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.