GCD of 724, 288, 39, 100 Calculator

Given Input numbers are 724, 288, 39, 100

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 724, 288, 39, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 288, 39, 100 is 1.

Therefore, GCD of numbers 724, 288, 39, 100 is 1

Given Input Data is 724, 288, 39, 100

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 39 is 3 x 13

Prime Factorization of 100 is 2 x 2 x 5 x 5

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(724, 288) = 52128

GCD(724, 288) = ( 724 x 288 ) / 52128

GCD(724, 288) = 208512 / 52128

GCD(724, 288) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 39

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

LCM(4, 39) = 156

GCD(4, 39) = ( 4 x 39 ) / 156

GCD(4, 39) = 156 / 156

GCD(4, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 724, 288, 39, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 618, 80, 648
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• GCD of 250, 761, 58, 163
• GCD of 723, 631, 79, 833

1. What is the GCD of 724, 288, 39, 100?

GCD of 724, 288, 39, 100 is 1

2. Where do I get the detailed procedure to find GCD of 724, 288, 39, 100?

You can find a detailed procedure to find GCD of 724, 288, 39, 100 on our page.

3. How to find GCD of 724, 288, 39, 100 on a calculator?

You can find the GCD of 724, 288, 39, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.