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 334, 350, 83, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 334, 350, 83, 242 is 1
GCD(334, 350, 83, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 334, 350, 83, 242 is 1
GCD(334, 350, 83, 242) = 1
Given Input numbers are 334, 350, 83, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 334, 350, 83, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 350, 83, 242 is 1.
Therefore, GCD of numbers 334, 350, 83, 242 is 1
Given Input Data is 334, 350, 83, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 334 is 2 x 167
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 83 is 83
Prime Factorization of 242 is 2 x 11 x 11
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(334, 350) = 58450
GCD(334, 350) = ( 334 x 350 ) / 58450
GCD(334, 350) = 116900 / 58450
GCD(334, 350) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 83) = 166
GCD(2, 83) = ( 2 x 83 ) / 166
GCD(2, 83) = 166 / 166
GCD(2, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 334, 350, 83, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 334, 350, 83, 242?
GCD of 334, 350, 83, 242 is 1
2. Where do I get the detailed procedure to find GCD of 334, 350, 83, 242?
You can find a detailed procedure to find GCD of 334, 350, 83, 242 on our page.
3. How to find GCD of 334, 350, 83, 242 on a calculator?
You can find the GCD of 334, 350, 83, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.