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 920, 499, 931, 235 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 499, 931, 235 is 1
GCD(920, 499, 931, 235) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 499, 931, 235 is 1
GCD(920, 499, 931, 235) = 1
Given Input numbers are 920, 499, 931, 235
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 235
List of positive integer divisors of 235 that divides 235 without a remainder.
1, 5, 47, 235
Greatest Common Divisior
We found the divisors of 920, 499, 931, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 499, 931, 235 is 1.
Therefore, GCD of numbers 920, 499, 931, 235 is 1
Given Input Data is 920, 499, 931, 235
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 499 is 499
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 235 is 5 x 47
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(920, 499) = 459080
GCD(920, 499) = ( 920 x 499 ) / 459080
GCD(920, 499) = 459080 / 459080
GCD(920, 499) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 235
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 235) = 235
GCD(1, 235) = ( 1 x 235 ) / 235
GCD(1, 235) = 235 / 235
GCD(1, 235) = 1
GCD of 920, 499, 931, 235 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 499, 931, 235?
GCD of 920, 499, 931, 235 is 1
2. Where do I get the detailed procedure to find GCD of 920, 499, 931, 235?
You can find a detailed procedure to find GCD of 920, 499, 931, 235 on our page.
3. How to find GCD of 920, 499, 931, 235 on a calculator?
You can find the GCD of 920, 499, 931, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.