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 836, 398, 88, 780 i.e. 2 largest integer that divides all the numbers equally.
GCD of 836, 398, 88, 780 is 2
GCD(836, 398, 88, 780) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 836, 398, 88, 780 is 2
GCD(836, 398, 88, 780) = 2
Given Input numbers are 836, 398, 88, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 836, 398, 88, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 836, 398, 88, 780 is 2.
Therefore, GCD of numbers 836, 398, 88, 780 is 2
Given Input Data is 836, 398, 88, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 398 is 2 x 199
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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(836, 398) = 166364
GCD(836, 398) = ( 836 x 398 ) / 166364
GCD(836, 398) = 332728 / 166364
GCD(836, 398) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 88) = 88
GCD(2, 88) = ( 2 x 88 ) / 88
GCD(2, 88) = 176 / 88
GCD(2, 88) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 780) = 780
GCD(2, 780) = ( 2 x 780 ) / 780
GCD(2, 780) = 1560 / 780
GCD(2, 780) = 2
GCD of 836, 398, 88, 780 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 836, 398, 88, 780?
GCD of 836, 398, 88, 780 is 2
2. Where do I get the detailed procedure to find GCD of 836, 398, 88, 780?
You can find a detailed procedure to find GCD of 836, 398, 88, 780 on our page.
3. How to find GCD of 836, 398, 88, 780 on a calculator?
You can find the GCD of 836, 398, 88, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.