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 141, 293, 822, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 141, 293, 822, 938 is 1
GCD(141, 293, 822, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 141, 293, 822, 938 is 1
GCD(141, 293, 822, 938) = 1
Given Input numbers are 141, 293, 822, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 141, 293, 822, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 293, 822, 938 is 1.
Therefore, GCD of numbers 141, 293, 822, 938 is 1
Given Input Data is 141, 293, 822, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 141 is 3 x 47
Prime Factorization of 293 is 293
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 938 is 2 x 7 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(141, 293) = 41313
GCD(141, 293) = ( 141 x 293 ) / 41313
GCD(141, 293) = 41313 / 41313
GCD(141, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 141, 293, 822, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 141, 293, 822, 938?
GCD of 141, 293, 822, 938 is 1
2. Where do I get the detailed procedure to find GCD of 141, 293, 822, 938?
You can find a detailed procedure to find GCD of 141, 293, 822, 938 on our page.
3. How to find GCD of 141, 293, 822, 938 on a calculator?
You can find the GCD of 141, 293, 822, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.