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 145, 501, 503, 565 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 501, 503, 565 is 1
GCD(145, 501, 503, 565) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 501, 503, 565 is 1
GCD(145, 501, 503, 565) = 1
Given Input numbers are 145, 501, 503, 565
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Greatest Common Divisior
We found the divisors of 145, 501, 503, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 501, 503, 565 is 1.
Therefore, GCD of numbers 145, 501, 503, 565 is 1
Given Input Data is 145, 501, 503, 565
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 501 is 3 x 167
Prime Factorization of 503 is 503
Prime Factorization of 565 is 5 x 113
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(145, 501) = 72645
GCD(145, 501) = ( 145 x 501 ) / 72645
GCD(145, 501) = 72645 / 72645
GCD(145, 501) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 503) = 503
GCD(1, 503) = ( 1 x 503 ) / 503
GCD(1, 503) = 503 / 503
GCD(1, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 565
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 565) = 565
GCD(1, 565) = ( 1 x 565 ) / 565
GCD(1, 565) = 565 / 565
GCD(1, 565) = 1
GCD of 145, 501, 503, 565 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 501, 503, 565?
GCD of 145, 501, 503, 565 is 1
2. Where do I get the detailed procedure to find GCD of 145, 501, 503, 565?
You can find a detailed procedure to find GCD of 145, 501, 503, 565 on our page.
3. How to find GCD of 145, 501, 503, 565 on a calculator?
You can find the GCD of 145, 501, 503, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.