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 782, 860, 18, 626 i.e. 2 largest integer that divides all the numbers equally.
GCD of 782, 860, 18, 626 is 2
GCD(782, 860, 18, 626) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 782, 860, 18, 626 is 2
GCD(782, 860, 18, 626) = 2
Given Input numbers are 782, 860, 18, 626
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 782, 860, 18, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 860, 18, 626 is 2.
Therefore, GCD of numbers 782, 860, 18, 626 is 2
Given Input Data is 782, 860, 18, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 860 is 2 x 2 x 5 x 43
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 626 is 2 x 313
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(782, 860) = 336260
GCD(782, 860) = ( 782 x 860 ) / 336260
GCD(782, 860) = 672520 / 336260
GCD(782, 860) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 626) = 626
GCD(2, 626) = ( 2 x 626 ) / 626
GCD(2, 626) = 1252 / 626
GCD(2, 626) = 2
GCD of 782, 860, 18, 626 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 782, 860, 18, 626?
GCD of 782, 860, 18, 626 is 2
2. Where do I get the detailed procedure to find GCD of 782, 860, 18, 626?
You can find a detailed procedure to find GCD of 782, 860, 18, 626 on our page.
3. How to find GCD of 782, 860, 18, 626 on a calculator?
You can find the GCD of 782, 860, 18, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.