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 96, 638, 685, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 638, 685, 883 is 1
GCD(96, 638, 685, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 638, 685, 883 is 1
GCD(96, 638, 685, 883) = 1
Given Input numbers are 96, 638, 685, 883
To find the GCD of numbers using factoring list out all the divisors of each number
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 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 96, 638, 685, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 638, 685, 883 is 1.
Therefore, GCD of numbers 96, 638, 685, 883 is 1
Given Input Data is 96, 638, 685, 883
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 685 is 5 x 137
Prime Factorization of 883 is 883
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(96, 638) = 30624
GCD(96, 638) = ( 96 x 638 ) / 30624
GCD(96, 638) = 61248 / 30624
GCD(96, 638) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 685) = 1370
GCD(2, 685) = ( 2 x 685 ) / 1370
GCD(2, 685) = 1370 / 1370
GCD(2, 685) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 883) = 883
GCD(1, 883) = ( 1 x 883 ) / 883
GCD(1, 883) = 883 / 883
GCD(1, 883) = 1
GCD of 96, 638, 685, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 638, 685, 883?
GCD of 96, 638, 685, 883 is 1
2. Where do I get the detailed procedure to find GCD of 96, 638, 685, 883?
You can find a detailed procedure to find GCD of 96, 638, 685, 883 on our page.
3. How to find GCD of 96, 638, 685, 883 on a calculator?
You can find the GCD of 96, 638, 685, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.