GCD of 643, 600, 924, 132 Calculator

Given Input numbers are 643, 600, 924, 132

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 643, 600, 924, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 600, 924, 132 is 1.

Therefore, GCD of numbers 643, 600, 924, 132 is 1

Given Input Data is 643, 600, 924, 132

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

Prime Factorization of 643 is 643

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(643, 600) = 385800

GCD(643, 600) = ( 643 x 600 ) / 385800

GCD(643, 600) = 385800 / 385800

GCD(643, 600) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 924

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

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

GCD(1, 924) = 924 / 924

GCD(1, 924) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 643, 600, 924, 132 is 1

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1. What is the GCD of 643, 600, 924, 132?

GCD of 643, 600, 924, 132 is 1

2. Where do I get the detailed procedure to find GCD of 643, 600, 924, 132?

You can find a detailed procedure to find GCD of 643, 600, 924, 132 on our page.

3. How to find GCD of 643, 600, 924, 132 on a calculator?

You can find the GCD of 643, 600, 924, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.