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, 302, 919, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 302, 919, 375 is 1
GCD(780, 302, 919, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 302, 919, 375 is 1
GCD(780, 302, 919, 375) = 1
Given Input numbers are 780, 302, 919, 375
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 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 780, 302, 919, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 302, 919, 375 is 1.
Therefore, GCD of numbers 780, 302, 919, 375 is 1
Given Input Data is 780, 302, 919, 375
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 302 is 2 x 151
Prime Factorization of 919 is 919
Prime Factorization of 375 is 3 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
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, 302) = 117780
GCD(780, 302) = ( 780 x 302 ) / 117780
GCD(780, 302) = 235560 / 117780
GCD(780, 302) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 919
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 919) = 1838
GCD(2, 919) = ( 2 x 919 ) / 1838
GCD(2, 919) = 1838 / 1838
GCD(2, 919) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
GCD of 780, 302, 919, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 302, 919, 375?
GCD of 780, 302, 919, 375 is 1
2. Where do I get the detailed procedure to find GCD of 780, 302, 919, 375?
You can find a detailed procedure to find GCD of 780, 302, 919, 375 on our page.
3. How to find GCD of 780, 302, 919, 375 on a calculator?
You can find the GCD of 780, 302, 919, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.