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 32, 564, 426, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 564, 426, 989 is 1
GCD(32, 564, 426, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 564, 426, 989 is 1
GCD(32, 564, 426, 989) = 1
Given Input numbers are 32, 564, 426, 989
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
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
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 32, 564, 426, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 564, 426, 989 is 1.
Therefore, GCD of numbers 32, 564, 426, 989 is 1
Given Input Data is 32, 564, 426, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 989 is 23 x 43
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(32, 564) = 4512
GCD(32, 564) = ( 32 x 564 ) / 4512
GCD(32, 564) = 18048 / 4512
GCD(32, 564) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 426) = 852
GCD(4, 426) = ( 4 x 426 ) / 852
GCD(4, 426) = 1704 / 852
GCD(4, 426) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 989) = 1978
GCD(2, 989) = ( 2 x 989 ) / 1978
GCD(2, 989) = 1978 / 1978
GCD(2, 989) = 1
GCD of 32, 564, 426, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 564, 426, 989?
GCD of 32, 564, 426, 989 is 1
2. Where do I get the detailed procedure to find GCD of 32, 564, 426, 989?
You can find a detailed procedure to find GCD of 32, 564, 426, 989 on our page.
3. How to find GCD of 32, 564, 426, 989 on a calculator?
You can find the GCD of 32, 564, 426, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.