GCD of 924, 108, 141, 749 Calculator

Given Input numbers are 924, 108, 141, 749

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

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 924, 108, 141, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 108, 141, 749 is 1.

Therefore, GCD of numbers 924, 108, 141, 749 is 1

Given Input Data is 924, 108, 141, 749

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

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 141 is 3 x 47

Prime Factorization of 749 is 7 x 107

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(924, 108) = 8316

GCD(924, 108) = ( 924 x 108 ) / 8316

GCD(924, 108) = 99792 / 8316

GCD(924, 108) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 141

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

LCM(12, 141) = 564

GCD(12, 141) = ( 12 x 141 ) / 564

GCD(12, 141) = 1692 / 564

GCD(12, 141) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 749

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

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

GCD(3, 749) = 2247 / 2247

GCD(3, 749) = 1

GCD of 924, 108, 141, 749 is 1

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1. What is the GCD of 924, 108, 141, 749?

GCD of 924, 108, 141, 749 is 1

2. Where do I get the detailed procedure to find GCD of 924, 108, 141, 749?

You can find a detailed procedure to find GCD of 924, 108, 141, 749 on our page.

3. How to find GCD of 924, 108, 141, 749 on a calculator?

You can find the GCD of 924, 108, 141, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.