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 940, 980, 97, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 980, 97, 918 is 1
GCD(940, 980, 97, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 980, 97, 918 is 1
GCD(940, 980, 97, 918) = 1
Given Input numbers are 940, 980, 97, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 940, 980, 97, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 980, 97, 918 is 1.
Therefore, GCD of numbers 940, 980, 97, 918 is 1
Given Input Data is 940, 980, 97, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 97 is 97
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(940, 980) = 46060
GCD(940, 980) = ( 940 x 980 ) / 46060
GCD(940, 980) = 921200 / 46060
GCD(940, 980) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 97) = 1940
GCD(20, 97) = ( 20 x 97 ) / 1940
GCD(20, 97) = 1940 / 1940
GCD(20, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
GCD of 940, 980, 97, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 980, 97, 918?
GCD of 940, 980, 97, 918 is 1
2. Where do I get the detailed procedure to find GCD of 940, 980, 97, 918?
You can find a detailed procedure to find GCD of 940, 980, 97, 918 on our page.
3. How to find GCD of 940, 980, 97, 918 on a calculator?
You can find the GCD of 940, 980, 97, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.