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, 264, 397, 127 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 264, 397, 127 is 1
GCD(498, 264, 397, 127) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 264, 397, 127 is 1
GCD(498, 264, 397, 127) = 1
Given Input numbers are 498, 264, 397, 127
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 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 397
List of positive integer divisors of 397 that divides 397 without a remainder.
1, 397
Divisors of 127
List of positive integer divisors of 127 that divides 127 without a remainder.
1, 127
Greatest Common Divisior
We found the divisors of 498, 264, 397, 127 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 264, 397, 127 is 1.
Therefore, GCD of numbers 498, 264, 397, 127 is 1
Given Input Data is 498, 264, 397, 127
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 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 397 is 397
Prime Factorization of 127 is 127
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, 264) = 21912
GCD(498, 264) = ( 498 x 264 ) / 21912
GCD(498, 264) = 131472 / 21912
GCD(498, 264) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 397
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 397) = 2382
GCD(6, 397) = ( 6 x 397 ) / 2382
GCD(6, 397) = 2382 / 2382
GCD(6, 397) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 127
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 127) = 127
GCD(1, 127) = ( 1 x 127 ) / 127
GCD(1, 127) = 127 / 127
GCD(1, 127) = 1
GCD of 498, 264, 397, 127 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 264, 397, 127?
GCD of 498, 264, 397, 127 is 1
2. Where do I get the detailed procedure to find GCD of 498, 264, 397, 127?
You can find a detailed procedure to find GCD of 498, 264, 397, 127 on our page.
3. How to find GCD of 498, 264, 397, 127 on a calculator?
You can find the GCD of 498, 264, 397, 127 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.