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 710, 240, 40, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 710, 240, 40, 171 is 1
GCD(710, 240, 40, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 710, 240, 40, 171 is 1
GCD(710, 240, 40, 171) = 1
Given Input numbers are 710, 240, 40, 171
To find the GCD of numbers using factoring list out all the divisors of each number
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 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 710, 240, 40, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 240, 40, 171 is 1.
Therefore, GCD of numbers 710, 240, 40, 171 is 1
Given Input Data is 710, 240, 40, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 171 is 3 x 3 x 19
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(710, 240) = 17040
GCD(710, 240) = ( 710 x 240 ) / 17040
GCD(710, 240) = 170400 / 17040
GCD(710, 240) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 40) = 40
GCD(10, 40) = ( 10 x 40 ) / 40
GCD(10, 40) = 400 / 40
GCD(10, 40) = 10
Step3:
Here we consider the GCD from the above i.e. 10 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 171) = 1710
GCD(10, 171) = ( 10 x 171 ) / 1710
GCD(10, 171) = 1710 / 1710
GCD(10, 171) = 1
GCD of 710, 240, 40, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 710, 240, 40, 171?
GCD of 710, 240, 40, 171 is 1
2. Where do I get the detailed procedure to find GCD of 710, 240, 40, 171?
You can find a detailed procedure to find GCD of 710, 240, 40, 171 on our page.
3. How to find GCD of 710, 240, 40, 171 on a calculator?
You can find the GCD of 710, 240, 40, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.