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, 271, 698, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 979, 271, 698, 274 is 1
GCD(979, 271, 698, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 979, 271, 698, 274 is 1
GCD(979, 271, 698, 274) = 1
Given Input numbers are 979, 271, 698, 274
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 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 979, 271, 698, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 271, 698, 274 is 1.
Therefore, GCD of numbers 979, 271, 698, 274 is 1
Given Input Data is 979, 271, 698, 274
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 979 is 11 x 89
Prime Factorization of 271 is 271
Prime Factorization of 698 is 2 x 349
Prime Factorization of 274 is 2 x 137
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, 271) = 265309
GCD(979, 271) = ( 979 x 271 ) / 265309
GCD(979, 271) = 265309 / 265309
GCD(979, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
GCD of 979, 271, 698, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 979, 271, 698, 274?
GCD of 979, 271, 698, 274 is 1
2. Where do I get the detailed procedure to find GCD of 979, 271, 698, 274?
You can find a detailed procedure to find GCD of 979, 271, 698, 274 on our page.
3. How to find GCD of 979, 271, 698, 274 on a calculator?
You can find the GCD of 979, 271, 698, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.