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, 964, 99, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 964, 99, 901 is 1
GCD(867, 964, 99, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 964, 99, 901 is 1
GCD(867, 964, 99, 901) = 1
Given Input numbers are 867, 964, 99, 901
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 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 867, 964, 99, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 964, 99, 901 is 1.
Therefore, GCD of numbers 867, 964, 99, 901 is 1
Given Input Data is 867, 964, 99, 901
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 964 is 2 x 2 x 241
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 901 is 17 x 53
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, 964) = 835788
GCD(867, 964) = ( 867 x 964 ) / 835788
GCD(867, 964) = 835788 / 835788
GCD(867, 964) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 99) = 99
GCD(1, 99) = ( 1 x 99 ) / 99
GCD(1, 99) = 99 / 99
GCD(1, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
GCD of 867, 964, 99, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 964, 99, 901?
GCD of 867, 964, 99, 901 is 1
2. Where do I get the detailed procedure to find GCD of 867, 964, 99, 901?
You can find a detailed procedure to find GCD of 867, 964, 99, 901 on our page.
3. How to find GCD of 867, 964, 99, 901 on a calculator?
You can find the GCD of 867, 964, 99, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.