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 980, 612, 302, 327 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 612, 302, 327 is 1
GCD(980, 612, 302, 327) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 612, 302, 327 is 1
GCD(980, 612, 302, 327) = 1
Given Input numbers are 980, 612, 302, 327
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Greatest Common Divisior
We found the divisors of 980, 612, 302, 327 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 612, 302, 327 is 1.
Therefore, GCD of numbers 980, 612, 302, 327 is 1
Given Input Data is 980, 612, 302, 327
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 302 is 2 x 151
Prime Factorization of 327 is 3 x 109
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(980, 612) = 149940
GCD(980, 612) = ( 980 x 612 ) / 149940
GCD(980, 612) = 599760 / 149940
GCD(980, 612) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 302) = 604
GCD(4, 302) = ( 4 x 302 ) / 604
GCD(4, 302) = 1208 / 604
GCD(4, 302) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 327) = 654
GCD(2, 327) = ( 2 x 327 ) / 654
GCD(2, 327) = 654 / 654
GCD(2, 327) = 1
GCD of 980, 612, 302, 327 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 612, 302, 327?
GCD of 980, 612, 302, 327 is 1
2. Where do I get the detailed procedure to find GCD of 980, 612, 302, 327?
You can find a detailed procedure to find GCD of 980, 612, 302, 327 on our page.
3. How to find GCD of 980, 612, 302, 327 on a calculator?
You can find the GCD of 980, 612, 302, 327 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.