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 720, 377, 307, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 720, 377, 307, 260 is 1
GCD(720, 377, 307, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 720, 377, 307, 260 is 1
GCD(720, 377, 307, 260) = 1
Given Input numbers are 720, 377, 307, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 720, 377, 307, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 377, 307, 260 is 1.
Therefore, GCD of numbers 720, 377, 307, 260 is 1
Given Input Data is 720, 377, 307, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 377 is 13 x 29
Prime Factorization of 307 is 307
Prime Factorization of 260 is 2 x 2 x 5 x 13
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(720, 377) = 271440
GCD(720, 377) = ( 720 x 377 ) / 271440
GCD(720, 377) = 271440 / 271440
GCD(720, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 720, 377, 307, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 720, 377, 307, 260?
GCD of 720, 377, 307, 260 is 1
2. Where do I get the detailed procedure to find GCD of 720, 377, 307, 260?
You can find a detailed procedure to find GCD of 720, 377, 307, 260 on our page.
3. How to find GCD of 720, 377, 307, 260 on a calculator?
You can find the GCD of 720, 377, 307, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.