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 634, 847, 96, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 634, 847, 96, 462 is 1
GCD(634, 847, 96, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 634, 847, 96, 462 is 1
GCD(634, 847, 96, 462) = 1
Given Input numbers are 634, 847, 96, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
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
Greatest Common Divisior
We found the divisors of 634, 847, 96, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 847, 96, 462 is 1.
Therefore, GCD of numbers 634, 847, 96, 462 is 1
Given Input Data is 634, 847, 96, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 634 is 2 x 317
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(634, 847) = 536998
GCD(634, 847) = ( 634 x 847 ) / 536998
GCD(634, 847) = 536998 / 536998
GCD(634, 847) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 634, 847, 96, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 634, 847, 96, 462?
GCD of 634, 847, 96, 462 is 1
2. Where do I get the detailed procedure to find GCD of 634, 847, 96, 462?
You can find a detailed procedure to find GCD of 634, 847, 96, 462 on our page.
3. How to find GCD of 634, 847, 96, 462 on a calculator?
You can find the GCD of 634, 847, 96, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.