GCD of 32, 744, 379, 279 Calculator

Given Input numbers are 32, 744, 379, 279

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 32, 744, 379, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 744, 379, 279 is 1.

Therefore, GCD of numbers 32, 744, 379, 279 is 1

Given Input Data is 32, 744, 379, 279

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 379 is 379

Prime Factorization of 279 is 3 x 3 x 31

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(32, 744) = 2976

GCD(32, 744) = ( 32 x 744 ) / 2976

GCD(32, 744) = 23808 / 2976

GCD(32, 744) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 379

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

LCM(8, 379) = 3032

GCD(8, 379) = ( 8 x 379 ) / 3032

GCD(8, 379) = 3032 / 3032

GCD(8, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 32, 744, 379, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 781, 974, 517
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• GCD of 70, 299, 438, 846
• GCD of 58, 918, 300, 946
• GCD of 89, 228, 179, 314

1. What is the GCD of 32, 744, 379, 279?

GCD of 32, 744, 379, 279 is 1

2. Where do I get the detailed procedure to find GCD of 32, 744, 379, 279?

You can find a detailed procedure to find GCD of 32, 744, 379, 279 on our page.

3. How to find GCD of 32, 744, 379, 279 on a calculator?

You can find the GCD of 32, 744, 379, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.