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 675, 263, 359, 720 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 263, 359, 720 is 1
GCD(675, 263, 359, 720) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 263, 359, 720 is 1
GCD(675, 263, 359, 720) = 1
Given Input numbers are 675, 263, 359, 720
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
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 675, 263, 359, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 263, 359, 720 is 1.
Therefore, GCD of numbers 675, 263, 359, 720 is 1
Given Input Data is 675, 263, 359, 720
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 263 is 263
Prime Factorization of 359 is 359
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(675, 263) = 177525
GCD(675, 263) = ( 675 x 263 ) / 177525
GCD(675, 263) = 177525 / 177525
GCD(675, 263) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 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 675, 263, 359, 720 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 263, 359, 720?
GCD of 675, 263, 359, 720 is 1
2. Where do I get the detailed procedure to find GCD of 675, 263, 359, 720?
You can find a detailed procedure to find GCD of 675, 263, 359, 720 on our page.
3. How to find GCD of 675, 263, 359, 720 on a calculator?
You can find the GCD of 675, 263, 359, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.