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 40, 197, 503, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 197, 503, 980 is 1
GCD(40, 197, 503, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 197, 503, 980 is 1
GCD(40, 197, 503, 980) = 1
Given Input numbers are 40, 197, 503, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
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
Greatest Common Divisior
We found the divisors of 40, 197, 503, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 197, 503, 980 is 1.
Therefore, GCD of numbers 40, 197, 503, 980 is 1
Given Input Data is 40, 197, 503, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 197 is 197
Prime Factorization of 503 is 503
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
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(40, 197) = 7880
GCD(40, 197) = ( 40 x 197 ) / 7880
GCD(40, 197) = 7880 / 7880
GCD(40, 197) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
GCD(1, 980) = 980 / 980
GCD(1, 980) = 1
GCD of 40, 197, 503, 980 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 197, 503, 980?
GCD of 40, 197, 503, 980 is 1
2. Where do I get the detailed procedure to find GCD of 40, 197, 503, 980?
You can find a detailed procedure to find GCD of 40, 197, 503, 980 on our page.
3. How to find GCD of 40, 197, 503, 980 on a calculator?
You can find the GCD of 40, 197, 503, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.