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 979, 402, 78, 361 i.e. 1 largest integer that divides all the numbers equally.
GCD of 979, 402, 78, 361 is 1
GCD(979, 402, 78, 361) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 979, 402, 78, 361 is 1
GCD(979, 402, 78, 361) = 1
Given Input numbers are 979, 402, 78, 361
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Greatest Common Divisior
We found the divisors of 979, 402, 78, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 402, 78, 361 is 1.
Therefore, GCD of numbers 979, 402, 78, 361 is 1
Given Input Data is 979, 402, 78, 361
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 979 is 11 x 89
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 361 is 19 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(979, 402) = 393558
GCD(979, 402) = ( 979 x 402 ) / 393558
GCD(979, 402) = 393558 / 393558
GCD(979, 402) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 361
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 361) = 361
GCD(1, 361) = ( 1 x 361 ) / 361
GCD(1, 361) = 361 / 361
GCD(1, 361) = 1
GCD of 979, 402, 78, 361 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 979, 402, 78, 361?
GCD of 979, 402, 78, 361 is 1
2. Where do I get the detailed procedure to find GCD of 979, 402, 78, 361?
You can find a detailed procedure to find GCD of 979, 402, 78, 361 on our page.
3. How to find GCD of 979, 402, 78, 361 on a calculator?
You can find the GCD of 979, 402, 78, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.