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, 613, 920, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 613, 920, 982 is 1
GCD(40, 613, 920, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 613, 920, 982 is 1
GCD(40, 613, 920, 982) = 1
Given Input numbers are 40, 613, 920, 982
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 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 40, 613, 920, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 613, 920, 982 is 1.
Therefore, GCD of numbers 40, 613, 920, 982 is 1
Given Input Data is 40, 613, 920, 982
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 613 is 613
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 982 is 2 x 491
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, 613) = 24520
GCD(40, 613) = ( 40 x 613 ) / 24520
GCD(40, 613) = 24520 / 24520
GCD(40, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 40, 613, 920, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 613, 920, 982?
GCD of 40, 613, 920, 982 is 1
2. Where do I get the detailed procedure to find GCD of 40, 613, 920, 982?
You can find a detailed procedure to find GCD of 40, 613, 920, 982 on our page.
3. How to find GCD of 40, 613, 920, 982 on a calculator?
You can find the GCD of 40, 613, 920, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.