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 124, 200, 687, 476 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 200, 687, 476 is 1
GCD(124, 200, 687, 476) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 200, 687, 476 is 1
GCD(124, 200, 687, 476) = 1
Given Input numbers are 124, 200, 687, 476
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 124, 200, 687, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 200, 687, 476 is 1.
Therefore, GCD of numbers 124, 200, 687, 476 is 1
Given Input Data is 124, 200, 687, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 687 is 3 x 229
Prime Factorization of 476 is 2 x 2 x 7 x 17
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(124, 200) = 6200
GCD(124, 200) = ( 124 x 200 ) / 6200
GCD(124, 200) = 24800 / 6200
GCD(124, 200) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 687) = 2748
GCD(4, 687) = ( 4 x 687 ) / 2748
GCD(4, 687) = 2748 / 2748
GCD(4, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 476) = 476
GCD(1, 476) = ( 1 x 476 ) / 476
GCD(1, 476) = 476 / 476
GCD(1, 476) = 1
GCD of 124, 200, 687, 476 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 200, 687, 476?
GCD of 124, 200, 687, 476 is 1
2. Where do I get the detailed procedure to find GCD of 124, 200, 687, 476?
You can find a detailed procedure to find GCD of 124, 200, 687, 476 on our page.
3. How to find GCD of 124, 200, 687, 476 on a calculator?
You can find the GCD of 124, 200, 687, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.