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, 635, 78, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 635, 78, 467 is 1
GCD(123, 635, 78, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 635, 78, 467 is 1
GCD(123, 635, 78, 467) = 1
Given Input numbers are 123, 635, 78, 467
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 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 123, 635, 78, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 635, 78, 467 is 1.
Therefore, GCD of numbers 123, 635, 78, 467 is 1
Given Input Data is 123, 635, 78, 467
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 635 is 5 x 127
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 467 is 467
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, 635) = 78105
GCD(123, 635) = ( 123 x 635 ) / 78105
GCD(123, 635) = 78105 / 78105
GCD(123, 635) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 1
GCD of 123, 635, 78, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 635, 78, 467?
GCD of 123, 635, 78, 467 is 1
2. Where do I get the detailed procedure to find GCD of 123, 635, 78, 467?
You can find a detailed procedure to find GCD of 123, 635, 78, 467 on our page.
3. How to find GCD of 123, 635, 78, 467 on a calculator?
You can find the GCD of 123, 635, 78, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.