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 994, 290, 81, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 994, 290, 81, 356 is 1
GCD(994, 290, 81, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 994, 290, 81, 356 is 1
GCD(994, 290, 81, 356) = 1
Given Input numbers are 994, 290, 81, 356
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
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 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 994, 290, 81, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 994, 290, 81, 356 is 1.
Therefore, GCD of numbers 994, 290, 81, 356 is 1
Given Input Data is 994, 290, 81, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 994 is 2 x 7 x 71
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 356 is 2 x 2 x 89
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(994, 290) = 144130
GCD(994, 290) = ( 994 x 290 ) / 144130
GCD(994, 290) = 288260 / 144130
GCD(994, 290) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 994, 290, 81, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 994, 290, 81, 356?
GCD of 994, 290, 81, 356 is 1
2. Where do I get the detailed procedure to find GCD of 994, 290, 81, 356?
You can find a detailed procedure to find GCD of 994, 290, 81, 356 on our page.
3. How to find GCD of 994, 290, 81, 356 on a calculator?
You can find the GCD of 994, 290, 81, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.