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 80, 308, 952, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 308, 952, 969 is 1
GCD(80, 308, 952, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 308, 952, 969 is 1
GCD(80, 308, 952, 969) = 1
Given Input numbers are 80, 308, 952, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 80, 308, 952, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 308, 952, 969 is 1.
Therefore, GCD of numbers 80, 308, 952, 969 is 1
Given Input Data is 80, 308, 952, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 969 is 3 x 17 x 19
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(80, 308) = 6160
GCD(80, 308) = ( 80 x 308 ) / 6160
GCD(80, 308) = 24640 / 6160
GCD(80, 308) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 952) = 952
GCD(4, 952) = ( 4 x 952 ) / 952
GCD(4, 952) = 3808 / 952
GCD(4, 952) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 969) = 3876
GCD(4, 969) = ( 4 x 969 ) / 3876
GCD(4, 969) = 3876 / 3876
GCD(4, 969) = 1
GCD of 80, 308, 952, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 308, 952, 969?
GCD of 80, 308, 952, 969 is 1
2. Where do I get the detailed procedure to find GCD of 80, 308, 952, 969?
You can find a detailed procedure to find GCD of 80, 308, 952, 969 on our page.
3. How to find GCD of 80, 308, 952, 969 on a calculator?
You can find the GCD of 80, 308, 952, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.