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, 355, 21, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 355, 21, 928 is 1
GCD(980, 355, 21, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 355, 21, 928 is 1
GCD(980, 355, 21, 928) = 1
Given Input numbers are 980, 355, 21, 928
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 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 980, 355, 21, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 355, 21, 928 is 1.
Therefore, GCD of numbers 980, 355, 21, 928 is 1
Given Input Data is 980, 355, 21, 928
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 355 is 5 x 71
Prime Factorization of 21 is 3 x 7
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
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, 355) = 69580
GCD(980, 355) = ( 980 x 355 ) / 69580
GCD(980, 355) = 347900 / 69580
GCD(980, 355) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 21) = 105
GCD(5, 21) = ( 5 x 21 ) / 105
GCD(5, 21) = 105 / 105
GCD(5, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 980, 355, 21, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 355, 21, 928?
GCD of 980, 355, 21, 928 is 1
2. Where do I get the detailed procedure to find GCD of 980, 355, 21, 928?
You can find a detailed procedure to find GCD of 980, 355, 21, 928 on our page.
3. How to find GCD of 980, 355, 21, 928 on a calculator?
You can find the GCD of 980, 355, 21, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.