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 123, 598, 61, 254 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 598, 61, 254 is 1
GCD(123, 598, 61, 254) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 598, 61, 254 is 1
GCD(123, 598, 61, 254) = 1
Given Input numbers are 123, 598, 61, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 123, 598, 61, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 598, 61, 254 is 1.
Therefore, GCD of numbers 123, 598, 61, 254 is 1
Given Input Data is 123, 598, 61, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 61 is 61
Prime Factorization of 254 is 2 x 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(123, 598) = 73554
GCD(123, 598) = ( 123 x 598 ) / 73554
GCD(123, 598) = 73554 / 73554
GCD(123, 598) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
GCD(1, 254) = 254 / 254
GCD(1, 254) = 1
GCD of 123, 598, 61, 254 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 598, 61, 254?
GCD of 123, 598, 61, 254 is 1
2. Where do I get the detailed procedure to find GCD of 123, 598, 61, 254?
You can find a detailed procedure to find GCD of 123, 598, 61, 254 on our page.
3. How to find GCD of 123, 598, 61, 254 on a calculator?
You can find the GCD of 123, 598, 61, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.