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 790, 882, 658 i.e. 2 largest integer that divides all the numbers equally.
GCD of 790, 882, 658 is 2
GCD(790, 882, 658) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 790, 882, 658 is 2
GCD(790, 882, 658) = 2
Given Input numbers are 790, 882, 658
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 790
List of positive integer divisors of 790 that divides 790 without a remainder.
1, 2, 5, 10, 79, 158, 395, 790
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 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 790, 882, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 882, 658 is 2.
Therefore, GCD of numbers 790, 882, 658 is 2
Given Input Data is 790, 882, 658
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 790 is 2 x 5 x 79
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 658 is 2 x 7 x 47
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(790, 882) = 348390
GCD(790, 882) = ( 790 x 882 ) / 348390
GCD(790, 882) = 696780 / 348390
GCD(790, 882) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 658) = 658
GCD(2, 658) = ( 2 x 658 ) / 658
GCD(2, 658) = 1316 / 658
GCD(2, 658) = 2
GCD of 790, 882, 658 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 790, 882, 658?
GCD of 790, 882, 658 is 2
2. Where do I get the detailed procedure to find GCD of 790, 882, 658?
You can find a detailed procedure to find GCD of 790, 882, 658 on our page.
3. How to find GCD of 790, 882, 658 on a calculator?
You can find the GCD of 790, 882, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.