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, 713, 503, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 124, 713, 503, 920 is 1
GCD(124, 713, 503, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 124, 713, 503, 920 is 1
GCD(124, 713, 503, 920) = 1
Given Input numbers are 124, 713, 503, 920
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 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 124, 713, 503, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 713, 503, 920 is 1.
Therefore, GCD of numbers 124, 713, 503, 920 is 1
Given Input Data is 124, 713, 503, 920
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 713 is 23 x 31
Prime Factorization of 503 is 503
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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, 713) = 2852
GCD(124, 713) = ( 124 x 713 ) / 2852
GCD(124, 713) = 88412 / 2852
GCD(124, 713) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 503) = 15593
GCD(31, 503) = ( 31 x 503 ) / 15593
GCD(31, 503) = 15593 / 15593
GCD(31, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 124, 713, 503, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 124, 713, 503, 920?
GCD of 124, 713, 503, 920 is 1
2. Where do I get the detailed procedure to find GCD of 124, 713, 503, 920?
You can find a detailed procedure to find GCD of 124, 713, 503, 920 on our page.
3. How to find GCD of 124, 713, 503, 920 on a calculator?
You can find the GCD of 124, 713, 503, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.