GCD of 747, 924, 579, 349 Calculator

Given Input numbers are 747, 924, 579, 349

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 747, 924, 579, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 924, 579, 349 is 1.

Therefore, GCD of numbers 747, 924, 579, 349 is 1

Given Input Data is 747, 924, 579, 349

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 579 is 3 x 193

Prime Factorization of 349 is 349

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(747, 924) = 230076

GCD(747, 924) = ( 747 x 924 ) / 230076

GCD(747, 924) = 690228 / 230076

GCD(747, 924) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 579

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

LCM(3, 579) = 579

GCD(3, 579) = ( 3 x 579 ) / 579

GCD(3, 579) = 1737 / 579

GCD(3, 579) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 349

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

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

GCD(3, 349) = 1047 / 1047

GCD(3, 349) = 1

GCD of 747, 924, 579, 349 is 1

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1. What is the GCD of 747, 924, 579, 349?

GCD of 747, 924, 579, 349 is 1

2. Where do I get the detailed procedure to find GCD of 747, 924, 579, 349?

You can find a detailed procedure to find GCD of 747, 924, 579, 349 on our page.

3. How to find GCD of 747, 924, 579, 349 on a calculator?

You can find the GCD of 747, 924, 579, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.