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 80, 307, 286, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 307, 286, 675 is 1
GCD(80, 307, 286, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 307, 286, 675 is 1
GCD(80, 307, 286, 675) = 1
Given Input numbers are 80, 307, 286, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 80, 307, 286, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 307, 286, 675 is 1.
Therefore, GCD of numbers 80, 307, 286, 675 is 1
Given Input Data is 80, 307, 286, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 307 is 307
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 675 is 3 x 3 x 3 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(80, 307) = 24560
GCD(80, 307) = ( 80 x 307 ) / 24560
GCD(80, 307) = 24560 / 24560
GCD(80, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 80, 307, 286, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 307, 286, 675?
GCD of 80, 307, 286, 675 is 1
2. Where do I get the detailed procedure to find GCD of 80, 307, 286, 675?
You can find a detailed procedure to find GCD of 80, 307, 286, 675 on our page.
3. How to find GCD of 80, 307, 286, 675 on a calculator?
You can find the GCD of 80, 307, 286, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.