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 856, 359, 29, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 856, 359, 29, 220 is 1
GCD(856, 359, 29, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 856, 359, 29, 220 is 1
GCD(856, 359, 29, 220) = 1
Given Input numbers are 856, 359, 29, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 856
List of positive integer divisors of 856 that divides 856 without a remainder.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 856, 359, 29, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 359, 29, 220 is 1.
Therefore, GCD of numbers 856, 359, 29, 220 is 1
Given Input Data is 856, 359, 29, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 856 is 2 x 2 x 2 x 107
Prime Factorization of 359 is 359
Prime Factorization of 29 is 29
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(856, 359) = 307304
GCD(856, 359) = ( 856 x 359 ) / 307304
GCD(856, 359) = 307304 / 307304
GCD(856, 359) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 856, 359, 29, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 856, 359, 29, 220?
GCD of 856, 359, 29, 220 is 1
2. Where do I get the detailed procedure to find GCD of 856, 359, 29, 220?
You can find a detailed procedure to find GCD of 856, 359, 29, 220 on our page.
3. How to find GCD of 856, 359, 29, 220 on a calculator?
You can find the GCD of 856, 359, 29, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.