GCD of 100, 736, 719, 296 Calculator

Given Input numbers are 100, 736, 719, 296

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

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 100, 736, 719, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 736, 719, 296 is 1.

Therefore, GCD of numbers 100, 736, 719, 296 is 1

Given Input Data is 100, 736, 719, 296

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

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 719 is 719

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(100, 736) = 18400

GCD(100, 736) = ( 100 x 736 ) / 18400

GCD(100, 736) = 73600 / 18400

GCD(100, 736) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 719

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

LCM(4, 719) = 2876

GCD(4, 719) = ( 4 x 719 ) / 2876

GCD(4, 719) = 2876 / 2876

GCD(4, 719) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 100, 736, 719, 296 is 1

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1. What is the GCD of 100, 736, 719, 296?

GCD of 100, 736, 719, 296 is 1

2. Where do I get the detailed procedure to find GCD of 100, 736, 719, 296?

You can find a detailed procedure to find GCD of 100, 736, 719, 296 on our page.

3. How to find GCD of 100, 736, 719, 296 on a calculator?

You can find the GCD of 100, 736, 719, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.