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, 884, 96, 650 i.e. 2 largest integer that divides all the numbers equally.
GCD of 980, 884, 96, 650 is 2
GCD(980, 884, 96, 650) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 884, 96, 650 is 2
GCD(980, 884, 96, 650) = 2
Given Input numbers are 980, 884, 96, 650
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 884
List of positive integer divisors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 980, 884, 96, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 884, 96, 650 is 2.
Therefore, GCD of numbers 980, 884, 96, 650 is 2
Given Input Data is 980, 884, 96, 650
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 884 is 2 x 2 x 13 x 17
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 650 is 2 x 5 x 5 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 884) = 216580
GCD(980, 884) = ( 980 x 884 ) / 216580
GCD(980, 884) = 866320 / 216580
GCD(980, 884) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 96) = 96
GCD(4, 96) = ( 4 x 96 ) / 96
GCD(4, 96) = 384 / 96
GCD(4, 96) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 650) = 1300
GCD(4, 650) = ( 4 x 650 ) / 1300
GCD(4, 650) = 2600 / 1300
GCD(4, 650) = 2
GCD of 980, 884, 96, 650 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 884, 96, 650?
GCD of 980, 884, 96, 650 is 2
2. Where do I get the detailed procedure to find GCD of 980, 884, 96, 650?
You can find a detailed procedure to find GCD of 980, 884, 96, 650 on our page.
3. How to find GCD of 980, 884, 96, 650 on a calculator?
You can find the GCD of 980, 884, 96, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.