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, 454, 83, 597 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 454, 83, 597 is 1
GCD(498, 454, 83, 597) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 454, 83, 597 is 1
GCD(498, 454, 83, 597) = 1
Given Input numbers are 498, 454, 83, 597
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 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Greatest Common Divisior
We found the divisors of 498, 454, 83, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 454, 83, 597 is 1.
Therefore, GCD of numbers 498, 454, 83, 597 is 1
Given Input Data is 498, 454, 83, 597
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 454 is 2 x 227
Prime Factorization of 83 is 83
Prime Factorization of 597 is 3 x 199
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, 454) = 113046
GCD(498, 454) = ( 498 x 454 ) / 113046
GCD(498, 454) = 226092 / 113046
GCD(498, 454) = 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 597
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 597) = 597
GCD(1, 597) = ( 1 x 597 ) / 597
GCD(1, 597) = 597 / 597
GCD(1, 597) = 1
GCD of 498, 454, 83, 597 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 454, 83, 597?
GCD of 498, 454, 83, 597 is 1
2. Where do I get the detailed procedure to find GCD of 498, 454, 83, 597?
You can find a detailed procedure to find GCD of 498, 454, 83, 597 on our page.
3. How to find GCD of 498, 454, 83, 597 on a calculator?
You can find the GCD of 498, 454, 83, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.