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 867, 875, 584, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 875, 584, 400 is 1
GCD(867, 875, 584, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 875, 584, 400 is 1
GCD(867, 875, 584, 400) = 1
Given Input numbers are 867, 875, 584, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
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 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 867, 875, 584, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 875, 584, 400 is 1.
Therefore, GCD of numbers 867, 875, 584, 400 is 1
Given Input Data is 867, 875, 584, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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(867, 875) = 758625
GCD(867, 875) = ( 867 x 875 ) / 758625
GCD(867, 875) = 758625 / 758625
GCD(867, 875) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 584
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 584) = 584
GCD(1, 584) = ( 1 x 584 ) / 584
GCD(1, 584) = 584 / 584
GCD(1, 584) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 867, 875, 584, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 875, 584, 400?
GCD of 867, 875, 584, 400 is 1
2. Where do I get the detailed procedure to find GCD of 867, 875, 584, 400?
You can find a detailed procedure to find GCD of 867, 875, 584, 400 on our page.
3. How to find GCD of 867, 875, 584, 400 on a calculator?
You can find the GCD of 867, 875, 584, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.