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 346, 364, 206, 460 i.e. 2 largest integer that divides all the numbers equally.
GCD of 346, 364, 206, 460 is 2
GCD(346, 364, 206, 460) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 364, 206, 460 is 2
GCD(346, 364, 206, 460) = 2
Given Input numbers are 346, 364, 206, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 346, 364, 206, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 364, 206, 460 is 2.
Therefore, GCD of numbers 346, 364, 206, 460 is 2
Given Input Data is 346, 364, 206, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 206 is 2 x 103
Prime Factorization of 460 is 2 x 2 x 5 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(346, 364) = 62972
GCD(346, 364) = ( 346 x 364 ) / 62972
GCD(346, 364) = 125944 / 62972
GCD(346, 364) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 206) = 206
GCD(2, 206) = ( 2 x 206 ) / 206
GCD(2, 206) = 412 / 206
GCD(2, 206) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
GCD(2, 460) = 920 / 460
GCD(2, 460) = 2
GCD of 346, 364, 206, 460 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 364, 206, 460?
GCD of 346, 364, 206, 460 is 2
2. Where do I get the detailed procedure to find GCD of 346, 364, 206, 460?
You can find a detailed procedure to find GCD of 346, 364, 206, 460 on our page.
3. How to find GCD of 346, 364, 206, 460 on a calculator?
You can find the GCD of 346, 364, 206, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.