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 265, 500, 76, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 265, 500, 76, 720 is 1
GCD(265, 500, 76, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 265, 500, 76, 720 is 1
GCD(265, 500, 76, 720) = 1
Given Input numbers are 265, 500, 76, 720
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
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
Greatest Common Divisior
We found the divisors of 265, 500, 76, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 500, 76, 720 is 1.
Therefore, GCD of numbers 265, 500, 76, 720 is 1
Given Input Data is 265, 500, 76, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 265 is 5 x 53
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 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(265, 500) = 26500
GCD(265, 500) = ( 265 x 500 ) / 26500
GCD(265, 500) = 132500 / 26500
GCD(265, 500) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 76) = 380
GCD(5, 76) = ( 5 x 76 ) / 380
GCD(5, 76) = 380 / 380
GCD(5, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
GCD of 265, 500, 76, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 265, 500, 76, 720?
GCD of 265, 500, 76, 720 is 1
2. Where do I get the detailed procedure to find GCD of 265, 500, 76, 720?
You can find a detailed procedure to find GCD of 265, 500, 76, 720 on our page.
3. How to find GCD of 265, 500, 76, 720 on a calculator?
You can find the GCD of 265, 500, 76, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.