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 882, 570, 44, 764 i.e. 2 largest integer that divides all the numbers equally.
GCD of 882, 570, 44, 764 is 2
GCD(882, 570, 44, 764) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 570, 44, 764 is 2
GCD(882, 570, 44, 764) = 2
Given Input numbers are 882, 570, 44, 764
To find the GCD of numbers using factoring list out all the divisors of each number
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 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Greatest Common Divisior
We found the divisors of 882, 570, 44, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 570, 44, 764 is 2.
Therefore, GCD of numbers 882, 570, 44, 764 is 2
Given Input Data is 882, 570, 44, 764
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 764 is 2 x 2 x 191
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(882, 570) = 83790
GCD(882, 570) = ( 882 x 570 ) / 83790
GCD(882, 570) = 502740 / 83790
GCD(882, 570) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 44) = 132
GCD(6, 44) = ( 6 x 44 ) / 132
GCD(6, 44) = 264 / 132
GCD(6, 44) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
GCD(2, 764) = 1528 / 764
GCD(2, 764) = 2
GCD of 882, 570, 44, 764 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 882, 570, 44, 764?
GCD of 882, 570, 44, 764 is 2
2. Where do I get the detailed procedure to find GCD of 882, 570, 44, 764?
You can find a detailed procedure to find GCD of 882, 570, 44, 764 on our page.
3. How to find GCD of 882, 570, 44, 764 on a calculator?
You can find the GCD of 882, 570, 44, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.