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 875, 912, 68, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 875, 912, 68, 648 is 1
GCD(875, 912, 68, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 875, 912, 68, 648 is 1
GCD(875, 912, 68, 648) = 1
Given Input numbers are 875, 912, 68, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 875, 912, 68, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 875, 912, 68, 648 is 1.
Therefore, GCD of numbers 875, 912, 68, 648 is 1
Given Input Data is 875, 912, 68, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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(875, 912) = 798000
GCD(875, 912) = ( 875 x 912 ) / 798000
GCD(875, 912) = 798000 / 798000
GCD(875, 912) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 875, 912, 68, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 875, 912, 68, 648?
GCD of 875, 912, 68, 648 is 1
2. Where do I get the detailed procedure to find GCD of 875, 912, 68, 648?
You can find a detailed procedure to find GCD of 875, 912, 68, 648 on our page.
3. How to find GCD of 875, 912, 68, 648 on a calculator?
You can find the GCD of 875, 912, 68, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.