Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 643, 600, 924, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 600, 924, 132 is 1
GCD(643, 600, 924, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 600, 924, 132 is 1
GCD(643, 600, 924, 132) = 1
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
Here are some samples of GCD of Numbers calculations.
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.