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 75, 520, 232, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 75, 520, 232, 345 is 1
GCD(75, 520, 232, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 75, 520, 232, 345 is 1
GCD(75, 520, 232, 345) = 1
Given Input numbers are 75, 520, 232, 345
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 75, 520, 232, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 520, 232, 345 is 1.
Therefore, GCD of numbers 75, 520, 232, 345 is 1
Given Input Data is 75, 520, 232, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 345 is 3 x 5 x 23
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(75, 520) = 7800
GCD(75, 520) = ( 75 x 520 ) / 7800
GCD(75, 520) = 39000 / 7800
GCD(75, 520) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 232
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 232) = 1160
GCD(5, 232) = ( 5 x 232 ) / 1160
GCD(5, 232) = 1160 / 1160
GCD(5, 232) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 75, 520, 232, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 75, 520, 232, 345?
GCD of 75, 520, 232, 345 is 1
2. Where do I get the detailed procedure to find GCD of 75, 520, 232, 345?
You can find a detailed procedure to find GCD of 75, 520, 232, 345 on our page.
3. How to find GCD of 75, 520, 232, 345 on a calculator?
You can find the GCD of 75, 520, 232, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.