GCD of 924, 511, 282, 118 Calculator

Given Input numbers are 924, 511, 282, 118

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 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 924, 511, 282, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 511, 282, 118 is 1.

Therefore, GCD of numbers 924, 511, 282, 118 is 1

Given Input Data is 924, 511, 282, 118

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 511 is 7 x 73

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 118 is 2 x 59

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, 511) = 67452

GCD(924, 511) = ( 924 x 511 ) / 67452

GCD(924, 511) = 472164 / 67452

GCD(924, 511) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 282

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

LCM(7, 282) = 1974

GCD(7, 282) = ( 7 x 282 ) / 1974

GCD(7, 282) = 1974 / 1974

GCD(7, 282) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 924, 511, 282, 118 is 1

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1. What is the GCD of 924, 511, 282, 118?

GCD of 924, 511, 282, 118 is 1

2. Where do I get the detailed procedure to find GCD of 924, 511, 282, 118?

You can find a detailed procedure to find GCD of 924, 511, 282, 118 on our page.

3. How to find GCD of 924, 511, 282, 118 on a calculator?

You can find the GCD of 924, 511, 282, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.