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 876, 324, 20, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 324, 20, 703 is 1
GCD(876, 324, 20, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 324, 20, 703 is 1
GCD(876, 324, 20, 703) = 1
Given Input numbers are 876, 324, 20, 703
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 876, 324, 20, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 324, 20, 703 is 1.
Therefore, GCD of numbers 876, 324, 20, 703 is 1
Given Input Data is 876, 324, 20, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 703 is 19 x 37
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(876, 324) = 23652
GCD(876, 324) = ( 876 x 324 ) / 23652
GCD(876, 324) = 283824 / 23652
GCD(876, 324) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 20) = 60
GCD(12, 20) = ( 12 x 20 ) / 60
GCD(12, 20) = 240 / 60
GCD(12, 20) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 703) = 2812
GCD(4, 703) = ( 4 x 703 ) / 2812
GCD(4, 703) = 2812 / 2812
GCD(4, 703) = 1
GCD of 876, 324, 20, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 324, 20, 703?
GCD of 876, 324, 20, 703 is 1
2. Where do I get the detailed procedure to find GCD of 876, 324, 20, 703?
You can find a detailed procedure to find GCD of 876, 324, 20, 703 on our page.
3. How to find GCD of 876, 324, 20, 703 on a calculator?
You can find the GCD of 876, 324, 20, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.