GCD of 744, 172, 119 Calculator

Given Input numbers are 744, 172, 119

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 744, 172, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 172, 119 is 1.

Therefore, GCD of numbers 744, 172, 119 is 1

Given Input Data is 744, 172, 119

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 172 is 2 x 2 x 43

Prime Factorization of 119 is 7 x 17

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, 172) = 31992

GCD(744, 172) = ( 744 x 172 ) / 31992

GCD(744, 172) = 127968 / 31992

GCD(744, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 119

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

LCM(4, 119) = 476

GCD(4, 119) = ( 4 x 119 ) / 476

GCD(4, 119) = 476 / 476

GCD(4, 119) = 1

GCD of 744, 172, 119 is 1

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1. What is the GCD of 744, 172, 119?

GCD of 744, 172, 119 is 1

2. Where do I get the detailed procedure to find GCD of 744, 172, 119?

You can find a detailed procedure to find GCD of 744, 172, 119 on our page.

3. How to find GCD of 744, 172, 119 on a calculator?

You can find the GCD of 744, 172, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.