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 768, 631, 35, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 768, 631, 35, 587 is 1
GCD(768, 631, 35, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 768, 631, 35, 587 is 1
GCD(768, 631, 35, 587) = 1
Given Input numbers are 768, 631, 35, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 768, 631, 35, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 631, 35, 587 is 1.
Therefore, GCD of numbers 768, 631, 35, 587 is 1
Given Input Data is 768, 631, 35, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 631 is 631
Prime Factorization of 35 is 5 x 7
Prime Factorization of 587 is 587
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(768, 631) = 484608
GCD(768, 631) = ( 768 x 631 ) / 484608
GCD(768, 631) = 484608 / 484608
GCD(768, 631) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 768, 631, 35, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 768, 631, 35, 587?
GCD of 768, 631, 35, 587 is 1
2. Where do I get the detailed procedure to find GCD of 768, 631, 35, 587?
You can find a detailed procedure to find GCD of 768, 631, 35, 587 on our page.
3. How to find GCD of 768, 631, 35, 587 on a calculator?
You can find the GCD of 768, 631, 35, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.