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 532, 260, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 532, 260, 465 is 1
GCD(532, 260, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 532, 260, 465 is 1
GCD(532, 260, 465) = 1
Given Input numbers are 532, 260, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 532, 260, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 260, 465 is 1.
Therefore, GCD of numbers 532, 260, 465 is 1
Given Input Data is 532, 260, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 465 is 3 x 5 x 31
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(532, 260) = 34580
GCD(532, 260) = ( 532 x 260 ) / 34580
GCD(532, 260) = 138320 / 34580
GCD(532, 260) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 465) = 1860
GCD(4, 465) = ( 4 x 465 ) / 1860
GCD(4, 465) = 1860 / 1860
GCD(4, 465) = 1
GCD of 532, 260, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 532, 260, 465?
GCD of 532, 260, 465 is 1
2. Where do I get the detailed procedure to find GCD of 532, 260, 465?
You can find a detailed procedure to find GCD of 532, 260, 465 on our page.
3. How to find GCD of 532, 260, 465 on a calculator?
You can find the GCD of 532, 260, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.