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 878, 178, 742, 724 i.e. 2 largest integer that divides all the numbers equally.
GCD of 878, 178, 742, 724 is 2
GCD(878, 178, 742, 724) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 878, 178, 742, 724 is 2
GCD(878, 178, 742, 724) = 2
Given Input numbers are 878, 178, 742, 724
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Greatest Common Divisior
We found the divisors of 878, 178, 742, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 178, 742, 724 is 2.
Therefore, GCD of numbers 878, 178, 742, 724 is 2
Given Input Data is 878, 178, 742, 724
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 878 is 2 x 439
Prime Factorization of 178 is 2 x 89
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 724 is 2 x 2 x 181
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(878, 178) = 78142
GCD(878, 178) = ( 878 x 178 ) / 78142
GCD(878, 178) = 156284 / 78142
GCD(878, 178) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
GCD(2, 742) = 1484 / 742
GCD(2, 742) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 724) = 724
GCD(2, 724) = ( 2 x 724 ) / 724
GCD(2, 724) = 1448 / 724
GCD(2, 724) = 2
GCD of 878, 178, 742, 724 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 878, 178, 742, 724?
GCD of 878, 178, 742, 724 is 2
2. Where do I get the detailed procedure to find GCD of 878, 178, 742, 724?
You can find a detailed procedure to find GCD of 878, 178, 742, 724 on our page.
3. How to find GCD of 878, 178, 742, 724 on a calculator?
You can find the GCD of 878, 178, 742, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.