GCD of 744, 100, 29, 387 Calculator

Given Input numbers are 744, 100, 29, 387

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 744, 100, 29, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 100, 29, 387 is 1.

Therefore, GCD of numbers 744, 100, 29, 387 is 1

Given Input Data is 744, 100, 29, 387

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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

Prime Factorization of 29 is 29

Prime Factorization of 387 is 3 x 3 x 43

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(744, 100) = 18600

GCD(744, 100) = ( 744 x 100 ) / 18600

GCD(744, 100) = 74400 / 18600

GCD(744, 100) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 744, 100, 29, 387 is 1

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• GCD of 434, 619, 72, 432
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1. What is the GCD of 744, 100, 29, 387?

GCD of 744, 100, 29, 387 is 1

2. Where do I get the detailed procedure to find GCD of 744, 100, 29, 387?

You can find a detailed procedure to find GCD of 744, 100, 29, 387 on our page.

3. How to find GCD of 744, 100, 29, 387 on a calculator?

You can find the GCD of 744, 100, 29, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.