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 725, 878, 408, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 878, 408, 139 is 1
GCD(725, 878, 408, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 878, 408, 139 is 1
GCD(725, 878, 408, 139) = 1
Given Input numbers are 725, 878, 408, 139
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 725, 878, 408, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 878, 408, 139 is 1.
Therefore, GCD of numbers 725, 878, 408, 139 is 1
Given Input Data is 725, 878, 408, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 878 is 2 x 439
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 139 is 139
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(725, 878) = 636550
GCD(725, 878) = ( 725 x 878 ) / 636550
GCD(725, 878) = 636550 / 636550
GCD(725, 878) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
GCD(1, 139) = 139 / 139
GCD(1, 139) = 1
GCD of 725, 878, 408, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 878, 408, 139?
GCD of 725, 878, 408, 139 is 1
2. Where do I get the detailed procedure to find GCD of 725, 878, 408, 139?
You can find a detailed procedure to find GCD of 725, 878, 408, 139 on our page.
3. How to find GCD of 725, 878, 408, 139 on a calculator?
You can find the GCD of 725, 878, 408, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.