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 104, 964, 859, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 104, 964, 859, 564 is 1
GCD(104, 964, 859, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 104, 964, 859, 564 is 1
GCD(104, 964, 859, 564) = 1
Given Input numbers are 104, 964, 859, 564
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 104, 964, 859, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 964, 859, 564 is 1.
Therefore, GCD of numbers 104, 964, 859, 564 is 1
Given Input Data is 104, 964, 859, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 859 is 859
Prime Factorization of 564 is 2 x 2 x 3 x 47
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(104, 964) = 25064
GCD(104, 964) = ( 104 x 964 ) / 25064
GCD(104, 964) = 100256 / 25064
GCD(104, 964) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 859) = 3436
GCD(4, 859) = ( 4 x 859 ) / 3436
GCD(4, 859) = 3436 / 3436
GCD(4, 859) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 104, 964, 859, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 104, 964, 859, 564?
GCD of 104, 964, 859, 564 is 1
2. Where do I get the detailed procedure to find GCD of 104, 964, 859, 564?
You can find a detailed procedure to find GCD of 104, 964, 859, 564 on our page.
3. How to find GCD of 104, 964, 859, 564 on a calculator?
You can find the GCD of 104, 964, 859, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.