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 139, 540, 10, 878 i.e. 1 largest integer that divides all the numbers equally.
GCD of 139, 540, 10, 878 is 1
GCD(139, 540, 10, 878) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 139, 540, 10, 878 is 1
GCD(139, 540, 10, 878) = 1
Given Input numbers are 139, 540, 10, 878
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Greatest Common Divisior
We found the divisors of 139, 540, 10, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 540, 10, 878 is 1.
Therefore, GCD of numbers 139, 540, 10, 878 is 1
Given Input Data is 139, 540, 10, 878
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 139 is 139
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 10 is 2 x 5
Prime Factorization of 878 is 2 x 439
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(139, 540) = 75060
GCD(139, 540) = ( 139 x 540 ) / 75060
GCD(139, 540) = 75060 / 75060
GCD(139, 540) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 878
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 878) = 878
GCD(1, 878) = ( 1 x 878 ) / 878
GCD(1, 878) = 878 / 878
GCD(1, 878) = 1
GCD of 139, 540, 10, 878 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 139, 540, 10, 878?
GCD of 139, 540, 10, 878 is 1
2. Where do I get the detailed procedure to find GCD of 139, 540, 10, 878?
You can find a detailed procedure to find GCD of 139, 540, 10, 878 on our page.
3. How to find GCD of 139, 540, 10, 878 on a calculator?
You can find the GCD of 139, 540, 10, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.