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 880, 135, 284, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 135, 284, 159 is 1
GCD(880, 135, 284, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 135, 284, 159 is 1
GCD(880, 135, 284, 159) = 1
Given Input numbers are 880, 135, 284, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 880, 135, 284, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 135, 284, 159 is 1.
Therefore, GCD of numbers 880, 135, 284, 159 is 1
Given Input Data is 880, 135, 284, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 159 is 3 x 53
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(880, 135) = 23760
GCD(880, 135) = ( 880 x 135 ) / 23760
GCD(880, 135) = 118800 / 23760
GCD(880, 135) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 284) = 1420
GCD(5, 284) = ( 5 x 284 ) / 1420
GCD(5, 284) = 1420 / 1420
GCD(5, 284) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
GCD of 880, 135, 284, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 135, 284, 159?
GCD of 880, 135, 284, 159 is 1
2. Where do I get the detailed procedure to find GCD of 880, 135, 284, 159?
You can find a detailed procedure to find GCD of 880, 135, 284, 159 on our page.
3. How to find GCD of 880, 135, 284, 159 on a calculator?
You can find the GCD of 880, 135, 284, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.