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 354, 213, 334, 994 i.e. 1 largest integer that divides all the numbers equally.
GCD of 354, 213, 334, 994 is 1
GCD(354, 213, 334, 994) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 213, 334, 994 is 1
GCD(354, 213, 334, 994) = 1
Given Input numbers are 354, 213, 334, 994
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 994
List of positive integer divisors of 994 that divides 994 without a remainder.
1, 2, 7, 14, 71, 142, 497, 994
Greatest Common Divisior
We found the divisors of 354, 213, 334, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 213, 334, 994 is 1.
Therefore, GCD of numbers 354, 213, 334, 994 is 1
Given Input Data is 354, 213, 334, 994
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 213 is 3 x 71
Prime Factorization of 334 is 2 x 167
Prime Factorization of 994 is 2 x 7 x 71
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(354, 213) = 25134
GCD(354, 213) = ( 354 x 213 ) / 25134
GCD(354, 213) = 75402 / 25134
GCD(354, 213) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 334) = 1002
GCD(3, 334) = ( 3 x 334 ) / 1002
GCD(3, 334) = 1002 / 1002
GCD(3, 334) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 994
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
GCD(1, 994) = 994 / 994
GCD(1, 994) = 1
GCD of 354, 213, 334, 994 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 354, 213, 334, 994?
GCD of 354, 213, 334, 994 is 1
2. Where do I get the detailed procedure to find GCD of 354, 213, 334, 994?
You can find a detailed procedure to find GCD of 354, 213, 334, 994 on our page.
3. How to find GCD of 354, 213, 334, 994 on a calculator?
You can find the GCD of 354, 213, 334, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.