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 240, 521, 71, 761 i.e. 1 largest integer that divides all the numbers equally.
GCD of 240, 521, 71, 761 is 1
GCD(240, 521, 71, 761) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 240, 521, 71, 761 is 1
GCD(240, 521, 71, 761) = 1
Given Input numbers are 240, 521, 71, 761
To find the GCD of numbers using factoring list out all the divisors of each number
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 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Greatest Common Divisior
We found the divisors of 240, 521, 71, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 521, 71, 761 is 1.
Therefore, GCD of numbers 240, 521, 71, 761 is 1
Given Input Data is 240, 521, 71, 761
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 521 is 521
Prime Factorization of 71 is 71
Prime Factorization of 761 is 761
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(240, 521) = 125040
GCD(240, 521) = ( 240 x 521 ) / 125040
GCD(240, 521) = 125040 / 125040
GCD(240, 521) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
GCD(1, 761) = 761 / 761
GCD(1, 761) = 1
GCD of 240, 521, 71, 761 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 240, 521, 71, 761?
GCD of 240, 521, 71, 761 is 1
2. Where do I get the detailed procedure to find GCD of 240, 521, 71, 761?
You can find a detailed procedure to find GCD of 240, 521, 71, 761 on our page.
3. How to find GCD of 240, 521, 71, 761 on a calculator?
You can find the GCD of 240, 521, 71, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.