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 212, 498, 346, 458 i.e. 2 largest integer that divides all the numbers equally.
GCD of 212, 498, 346, 458 is 2
GCD(212, 498, 346, 458) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 498, 346, 458 is 2
GCD(212, 498, 346, 458) = 2
Given Input numbers are 212, 498, 346, 458
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Greatest Common Divisior
We found the divisors of 212, 498, 346, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 498, 346, 458 is 2.
Therefore, GCD of numbers 212, 498, 346, 458 is 2
Given Input Data is 212, 498, 346, 458
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 346 is 2 x 173
Prime Factorization of 458 is 2 x 229
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(212, 498) = 52788
GCD(212, 498) = ( 212 x 498 ) / 52788
GCD(212, 498) = 105576 / 52788
GCD(212, 498) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 346) = 346
GCD(2, 346) = ( 2 x 346 ) / 346
GCD(2, 346) = 692 / 346
GCD(2, 346) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 458) = 458
GCD(2, 458) = ( 2 x 458 ) / 458
GCD(2, 458) = 916 / 458
GCD(2, 458) = 2
GCD of 212, 498, 346, 458 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 498, 346, 458?
GCD of 212, 498, 346, 458 is 2
2. Where do I get the detailed procedure to find GCD of 212, 498, 346, 458?
You can find a detailed procedure to find GCD of 212, 498, 346, 458 on our page.
3. How to find GCD of 212, 498, 346, 458 on a calculator?
You can find the GCD of 212, 498, 346, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.