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 498, 745, 581, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 745, 581, 212 is 1
GCD(498, 745, 581, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 745, 581, 212 is 1
GCD(498, 745, 581, 212) = 1
Given Input numbers are 498, 745, 581, 212
To find the GCD of numbers using factoring list out all the divisors of each number
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 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 498, 745, 581, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 745, 581, 212 is 1.
Therefore, GCD of numbers 498, 745, 581, 212 is 1
Given Input Data is 498, 745, 581, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 745 is 5 x 149
Prime Factorization of 581 is 7 x 83
Prime Factorization of 212 is 2 x 2 x 53
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(498, 745) = 371010
GCD(498, 745) = ( 498 x 745 ) / 371010
GCD(498, 745) = 371010 / 371010
GCD(498, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 581) = 581
GCD(1, 581) = ( 1 x 581 ) / 581
GCD(1, 581) = 581 / 581
GCD(1, 581) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 498, 745, 581, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 745, 581, 212?
GCD of 498, 745, 581, 212 is 1
2. Where do I get the detailed procedure to find GCD of 498, 745, 581, 212?
You can find a detailed procedure to find GCD of 498, 745, 581, 212 on our page.
3. How to find GCD of 498, 745, 581, 212 on a calculator?
You can find the GCD of 498, 745, 581, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.