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 140, 290, 993, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 290, 993, 422 is 1
GCD(140, 290, 993, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 290, 993, 422 is 1
GCD(140, 290, 993, 422) = 1
Given Input numbers are 140, 290, 993, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 140, 290, 993, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 290, 993, 422 is 1.
Therefore, GCD of numbers 140, 290, 993, 422 is 1
Given Input Data is 140, 290, 993, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 993 is 3 x 331
Prime Factorization of 422 is 2 x 211
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(140, 290) = 4060
GCD(140, 290) = ( 140 x 290 ) / 4060
GCD(140, 290) = 40600 / 4060
GCD(140, 290) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 993) = 9930
GCD(10, 993) = ( 10 x 993 ) / 9930
GCD(10, 993) = 9930 / 9930
GCD(10, 993) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 140, 290, 993, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 290, 993, 422?
GCD of 140, 290, 993, 422 is 1
2. Where do I get the detailed procedure to find GCD of 140, 290, 993, 422?
You can find a detailed procedure to find GCD of 140, 290, 993, 422 on our page.
3. How to find GCD of 140, 290, 993, 422 on a calculator?
You can find the GCD of 140, 290, 993, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.