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, 882, 563, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 32, 882, 563, 771 is 1
GCD(32, 882, 563, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 32, 882, 563, 771 is 1
GCD(32, 882, 563, 771) = 1
Given Input numbers are 32, 882, 563, 771
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 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 32, 882, 563, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 882, 563, 771 is 1.
Therefore, GCD of numbers 32, 882, 563, 771 is 1
Given Input Data is 32, 882, 563, 771
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 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 563 is 563
Prime Factorization of 771 is 3 x 257
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, 882) = 14112
GCD(32, 882) = ( 32 x 882 ) / 14112
GCD(32, 882) = 28224 / 14112
GCD(32, 882) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 563) = 1126
GCD(2, 563) = ( 2 x 563 ) / 1126
GCD(2, 563) = 1126 / 1126
GCD(2, 563) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 32, 882, 563, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 32, 882, 563, 771?
GCD of 32, 882, 563, 771 is 1
2. Where do I get the detailed procedure to find GCD of 32, 882, 563, 771?
You can find a detailed procedure to find GCD of 32, 882, 563, 771 on our page.
3. How to find GCD of 32, 882, 563, 771 on a calculator?
You can find the GCD of 32, 882, 563, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.