GCD of 882, 147, 663 Calculator
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, 147, 663 i.e. 3 largest integer that divides all the numbers equally.
GCD of 882, 147, 663 is 3
GCD(882, 147, 663) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 882, 147, 663 is 3
GCD(882, 147, 663) = 3
GCDof 882,147,663 is 3
Given Input numbers are 882, 147, 663
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 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 882, 147, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 147, 663 is 3.
Therefore, GCD of numbers 882, 147, 663 is 3
Given Input Data is 882, 147, 663
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 147 is 3 x 7 x 7
Prime Factorization of 663 is 3 x 13 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 882, 147, 663 using LCM Formula
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, 147) = 882
GCD(882, 147) = ( 882 x 147 ) / 882
GCD(882, 147) = 129654 / 882
GCD(882, 147) = 147
Step2:
Here we consider the GCD from the above i.e. 147 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(147, 663) = 32487
GCD(147, 663) = ( 147 x 663 ) / 32487
GCD(147, 663) = 97461 / 32487
GCD(147, 663) = 3
GCD of 882, 147, 663 is 3
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FAQs on GCD of numbers 882, 147, 663
1. What is the GCD of 882, 147, 663?
GCD of 882, 147, 663 is 3
2. Where do I get the detailed procedure to find GCD of 882, 147, 663?
You can find a detailed procedure to find GCD of 882, 147, 663 on our page.
3. How to find GCD of 882, 147, 663 on a calculator?
You can find the GCD of 882, 147, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.