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 780, 238, 30, 534 i.e. 2 largest integer that divides all the numbers equally.
GCD of 780, 238, 30, 534 is 2
GCD(780, 238, 30, 534) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 238, 30, 534 is 2
GCD(780, 238, 30, 534) = 2
Given Input numbers are 780, 238, 30, 534
To find the GCD of numbers using factoring list out all the divisors of each number
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 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 780, 238, 30, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 238, 30, 534 is 2.
Therefore, GCD of numbers 780, 238, 30, 534 is 2
Given Input Data is 780, 238, 30, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 534 is 2 x 3 x 89
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(780, 238) = 92820
GCD(780, 238) = ( 780 x 238 ) / 92820
GCD(780, 238) = 185640 / 92820
GCD(780, 238) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 30) = 30
GCD(2, 30) = ( 2 x 30 ) / 30
GCD(2, 30) = 60 / 30
GCD(2, 30) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 534) = 534
GCD(2, 534) = ( 2 x 534 ) / 534
GCD(2, 534) = 1068 / 534
GCD(2, 534) = 2
GCD of 780, 238, 30, 534 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 238, 30, 534?
GCD of 780, 238, 30, 534 is 2
2. Where do I get the detailed procedure to find GCD of 780, 238, 30, 534?
You can find a detailed procedure to find GCD of 780, 238, 30, 534 on our page.
3. How to find GCD of 780, 238, 30, 534 on a calculator?
You can find the GCD of 780, 238, 30, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.