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, 380, 270, 848 i.e. 2 largest integer that divides all the numbers equally.
GCD of 780, 380, 270, 848 is 2
GCD(780, 380, 270, 848) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 380, 270, 848 is 2
GCD(780, 380, 270, 848) = 2
Given Input numbers are 780, 380, 270, 848
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 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 780, 380, 270, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 380, 270, 848 is 2.
Therefore, GCD of numbers 780, 380, 270, 848 is 2
Given Input Data is 780, 380, 270, 848
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 380 is 2 x 2 x 5 x 19
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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, 380) = 14820
GCD(780, 380) = ( 780 x 380 ) / 14820
GCD(780, 380) = 296400 / 14820
GCD(780, 380) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 270) = 540
GCD(20, 270) = ( 20 x 270 ) / 540
GCD(20, 270) = 5400 / 540
GCD(20, 270) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 848) = 4240
GCD(10, 848) = ( 10 x 848 ) / 4240
GCD(10, 848) = 8480 / 4240
GCD(10, 848) = 2
GCD of 780, 380, 270, 848 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 380, 270, 848?
GCD of 780, 380, 270, 848 is 2
2. Where do I get the detailed procedure to find GCD of 780, 380, 270, 848?
You can find a detailed procedure to find GCD of 780, 380, 270, 848 on our page.
3. How to find GCD of 780, 380, 270, 848 on a calculator?
You can find the GCD of 780, 380, 270, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.