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 462, 484, 679, 635 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 484, 679, 635 is 1
GCD(462, 484, 679, 635) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 484, 679, 635 is 1
GCD(462, 484, 679, 635) = 1
Given Input numbers are 462, 484, 679, 635
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Greatest Common Divisior
We found the divisors of 462, 484, 679, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 484, 679, 635 is 1.
Therefore, GCD of numbers 462, 484, 679, 635 is 1
Given Input Data is 462, 484, 679, 635
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 679 is 7 x 97
Prime Factorization of 635 is 5 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(462, 484) = 10164
GCD(462, 484) = ( 462 x 484 ) / 10164
GCD(462, 484) = 223608 / 10164
GCD(462, 484) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 679) = 14938
GCD(22, 679) = ( 22 x 679 ) / 14938
GCD(22, 679) = 14938 / 14938
GCD(22, 679) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 635
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 635) = 635
GCD(1, 635) = ( 1 x 635 ) / 635
GCD(1, 635) = 635 / 635
GCD(1, 635) = 1
GCD of 462, 484, 679, 635 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 462, 484, 679, 635?
GCD of 462, 484, 679, 635 is 1
2. Where do I get the detailed procedure to find GCD of 462, 484, 679, 635?
You can find a detailed procedure to find GCD of 462, 484, 679, 635 on our page.
3. How to find GCD of 462, 484, 679, 635 on a calculator?
You can find the GCD of 462, 484, 679, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.