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 969, 888, 220, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 888, 220, 178 is 1
GCD(969, 888, 220, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 888, 220, 178 is 1
GCD(969, 888, 220, 178) = 1
Given Input numbers are 969, 888, 220, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 888
List of positive integer divisors of 888 that divides 888 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
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
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 969, 888, 220, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 888, 220, 178 is 1.
Therefore, GCD of numbers 969, 888, 220, 178 is 1
Given Input Data is 969, 888, 220, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 178 is 2 x 89
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(969, 888) = 286824
GCD(969, 888) = ( 969 x 888 ) / 286824
GCD(969, 888) = 860472 / 286824
GCD(969, 888) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 220) = 660
GCD(3, 220) = ( 3 x 220 ) / 660
GCD(3, 220) = 660 / 660
GCD(3, 220) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 969, 888, 220, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 888, 220, 178?
GCD of 969, 888, 220, 178 is 1
2. Where do I get the detailed procedure to find GCD of 969, 888, 220, 178?
You can find a detailed procedure to find GCD of 969, 888, 220, 178 on our page.
3. How to find GCD of 969, 888, 220, 178 on a calculator?
You can find the GCD of 969, 888, 220, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.