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 360, 375, 710, 636 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 375, 710, 636 is 1
GCD(360, 375, 710, 636) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 375, 710, 636 is 1
GCD(360, 375, 710, 636) = 1
Given Input numbers are 360, 375, 710, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 360, 375, 710, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 375, 710, 636 is 1.
Therefore, GCD of numbers 360, 375, 710, 636 is 1
Given Input Data is 360, 375, 710, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 636 is 2 x 2 x 3 x 53
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(360, 375) = 9000
GCD(360, 375) = ( 360 x 375 ) / 9000
GCD(360, 375) = 135000 / 9000
GCD(360, 375) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 710
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 710) = 2130
GCD(15, 710) = ( 15 x 710 ) / 2130
GCD(15, 710) = 10650 / 2130
GCD(15, 710) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 636) = 3180
GCD(5, 636) = ( 5 x 636 ) / 3180
GCD(5, 636) = 3180 / 3180
GCD(5, 636) = 1
GCD of 360, 375, 710, 636 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 375, 710, 636?
GCD of 360, 375, 710, 636 is 1
2. Where do I get the detailed procedure to find GCD of 360, 375, 710, 636?
You can find a detailed procedure to find GCD of 360, 375, 710, 636 on our page.
3. How to find GCD of 360, 375, 710, 636 on a calculator?
You can find the GCD of 360, 375, 710, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.