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, 572, 55, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 878, 572, 55, 135 is 1
GCD(878, 572, 55, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 878, 572, 55, 135 is 1
GCD(878, 572, 55, 135) = 1
Given Input numbers are 878, 572, 55, 135
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 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 878, 572, 55, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 878, 572, 55, 135 is 1.
Therefore, GCD of numbers 878, 572, 55, 135 is 1
Given Input Data is 878, 572, 55, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 878 is 2 x 439
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 55 is 5 x 11
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(878, 572) = 251108
GCD(878, 572) = ( 878 x 572 ) / 251108
GCD(878, 572) = 502216 / 251108
GCD(878, 572) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 55) = 110
GCD(2, 55) = ( 2 x 55 ) / 110
GCD(2, 55) = 110 / 110
GCD(2, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 878, 572, 55, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 878, 572, 55, 135?
GCD of 878, 572, 55, 135 is 1
2. Where do I get the detailed procedure to find GCD of 878, 572, 55, 135?
You can find a detailed procedure to find GCD of 878, 572, 55, 135 on our page.
3. How to find GCD of 878, 572, 55, 135 on a calculator?
You can find the GCD of 878, 572, 55, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.