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 924, 687, 463, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 687, 463, 125 is 1
GCD(924, 687, 463, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 687, 463, 125 is 1
GCD(924, 687, 463, 125) = 1
Given Input numbers are 924, 687, 463, 125
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 924, 687, 463, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 687, 463, 125 is 1.
Therefore, GCD of numbers 924, 687, 463, 125 is 1
Given Input Data is 924, 687, 463, 125
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 687 is 3 x 229
Prime Factorization of 463 is 463
Prime Factorization of 125 is 5 x 5 x 5
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, 687) = 211596
GCD(924, 687) = ( 924 x 687 ) / 211596
GCD(924, 687) = 634788 / 211596
GCD(924, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 463) = 1389
GCD(3, 463) = ( 3 x 463 ) / 1389
GCD(3, 463) = 1389 / 1389
GCD(3, 463) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 924, 687, 463, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 687, 463, 125?
GCD of 924, 687, 463, 125 is 1
2. Where do I get the detailed procedure to find GCD of 924, 687, 463, 125?
You can find a detailed procedure to find GCD of 924, 687, 463, 125 on our page.
3. How to find GCD of 924, 687, 463, 125 on a calculator?
You can find the GCD of 924, 687, 463, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.