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, 278, 412, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 969, 278, 412, 868 is 1
GCD(969, 278, 412, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 969, 278, 412, 868 is 1
GCD(969, 278, 412, 868) = 1
Given Input numbers are 969, 278, 412, 868
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 969, 278, 412, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 278, 412, 868 is 1.
Therefore, GCD of numbers 969, 278, 412, 868 is 1
Given Input Data is 969, 278, 412, 868
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 278 is 2 x 139
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 868 is 2 x 2 x 7 x 31
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, 278) = 269382
GCD(969, 278) = ( 969 x 278 ) / 269382
GCD(969, 278) = 269382 / 269382
GCD(969, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
GCD of 969, 278, 412, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 969, 278, 412, 868?
GCD of 969, 278, 412, 868 is 1
2. Where do I get the detailed procedure to find GCD of 969, 278, 412, 868?
You can find a detailed procedure to find GCD of 969, 278, 412, 868 on our page.
3. How to find GCD of 969, 278, 412, 868 on a calculator?
You can find the GCD of 969, 278, 412, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.