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, 876, 282, 648 i.e. 2 largest integer that divides all the numbers equally.
GCD of 790, 876, 282, 648 is 2
GCD(790, 876, 282, 648) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 790, 876, 282, 648 is 2
GCD(790, 876, 282, 648) = 2
Given Input numbers are 790, 876, 282, 648
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 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 790, 876, 282, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 876, 282, 648 is 2.
Therefore, GCD of numbers 790, 876, 282, 648 is 2
Given Input Data is 790, 876, 282, 648
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 876 is 2 x 2 x 3 x 73
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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, 876) = 346020
GCD(790, 876) = ( 790 x 876 ) / 346020
GCD(790, 876) = 692040 / 346020
GCD(790, 876) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 282
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 282) = 282
GCD(2, 282) = ( 2 x 282 ) / 282
GCD(2, 282) = 564 / 282
GCD(2, 282) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
GCD(2, 648) = 1296 / 648
GCD(2, 648) = 2
GCD of 790, 876, 282, 648 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 790, 876, 282, 648?
GCD of 790, 876, 282, 648 is 2
2. Where do I get the detailed procedure to find GCD of 790, 876, 282, 648?
You can find a detailed procedure to find GCD of 790, 876, 282, 648 on our page.
3. How to find GCD of 790, 876, 282, 648 on a calculator?
You can find the GCD of 790, 876, 282, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.