GCD of 744, 359, 100, 348 Calculator

Given Input numbers are 744, 359, 100, 348

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 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 744, 359, 100, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 359, 100, 348 is 1.

Therefore, GCD of numbers 744, 359, 100, 348 is 1

Given Input Data is 744, 359, 100, 348

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 359 is 359

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 359) = 267096

GCD(744, 359) = ( 744 x 359 ) / 267096

GCD(744, 359) = 267096 / 267096

GCD(744, 359) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 744, 359, 100, 348 is 1

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1. What is the GCD of 744, 359, 100, 348?

GCD of 744, 359, 100, 348 is 1

2. Where do I get the detailed procedure to find GCD of 744, 359, 100, 348?

You can find a detailed procedure to find GCD of 744, 359, 100, 348 on our page.

3. How to find GCD of 744, 359, 100, 348 on a calculator?

You can find the GCD of 744, 359, 100, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.