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, 404, 964, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 980, 404, 964, 201 is 1
GCD(980, 404, 964, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 980, 404, 964, 201 is 1
GCD(980, 404, 964, 201) = 1
Given Input numbers are 980, 404, 964, 201
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 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Greatest Common Divisior
We found the divisors of 980, 404, 964, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 404, 964, 201 is 1.
Therefore, GCD of numbers 980, 404, 964, 201 is 1
Given Input Data is 980, 404, 964, 201
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 404 is 2 x 2 x 101
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 201 is 3 x 67
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, 404) = 98980
GCD(980, 404) = ( 980 x 404 ) / 98980
GCD(980, 404) = 395920 / 98980
GCD(980, 404) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 964) = 964
GCD(4, 964) = ( 4 x 964 ) / 964
GCD(4, 964) = 3856 / 964
GCD(4, 964) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 201) = 804
GCD(4, 201) = ( 4 x 201 ) / 804
GCD(4, 201) = 804 / 804
GCD(4, 201) = 1
GCD of 980, 404, 964, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 980, 404, 964, 201?
GCD of 980, 404, 964, 201 is 1
2. Where do I get the detailed procedure to find GCD of 980, 404, 964, 201?
You can find a detailed procedure to find GCD of 980, 404, 964, 201 on our page.
3. How to find GCD of 980, 404, 964, 201 on a calculator?
You can find the GCD of 980, 404, 964, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.