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 538, 780, 94, 680 i.e. 2 largest integer that divides all the numbers equally.
GCD of 538, 780, 94, 680 is 2
GCD(538, 780, 94, 680) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 780, 94, 680 is 2
GCD(538, 780, 94, 680) = 2
Given Input numbers are 538, 780, 94, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
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
Divisors of 94
List of positive integer divisors of 94 that divides 94 without a remainder.
1, 2, 47, 94
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 538, 780, 94, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 780, 94, 680 is 2.
Therefore, GCD of numbers 538, 780, 94, 680 is 2
Given Input Data is 538, 780, 94, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 94 is 2 x 47
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(538, 780) = 209820
GCD(538, 780) = ( 538 x 780 ) / 209820
GCD(538, 780) = 419640 / 209820
GCD(538, 780) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 94
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 94) = 94
GCD(2, 94) = ( 2 x 94 ) / 94
GCD(2, 94) = 188 / 94
GCD(2, 94) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
GCD(2, 680) = 1360 / 680
GCD(2, 680) = 2
GCD of 538, 780, 94, 680 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 780, 94, 680?
GCD of 538, 780, 94, 680 is 2
2. Where do I get the detailed procedure to find GCD of 538, 780, 94, 680?
You can find a detailed procedure to find GCD of 538, 780, 94, 680 on our page.
3. How to find GCD of 538, 780, 94, 680 on a calculator?
You can find the GCD of 538, 780, 94, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.