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 745, 318, 269, 533 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 318, 269, 533 is 1
GCD(745, 318, 269, 533) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 318, 269, 533 is 1
GCD(745, 318, 269, 533) = 1
Given Input numbers are 745, 318, 269, 533
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Greatest Common Divisior
We found the divisors of 745, 318, 269, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 318, 269, 533 is 1.
Therefore, GCD of numbers 745, 318, 269, 533 is 1
Given Input Data is 745, 318, 269, 533
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 269 is 269
Prime Factorization of 533 is 13 x 41
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(745, 318) = 236910
GCD(745, 318) = ( 745 x 318 ) / 236910
GCD(745, 318) = 236910 / 236910
GCD(745, 318) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 533
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 533) = 533
GCD(1, 533) = ( 1 x 533 ) / 533
GCD(1, 533) = 533 / 533
GCD(1, 533) = 1
GCD of 745, 318, 269, 533 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 318, 269, 533?
GCD of 745, 318, 269, 533 is 1
2. Where do I get the detailed procedure to find GCD of 745, 318, 269, 533?
You can find a detailed procedure to find GCD of 745, 318, 269, 533 on our page.
3. How to find GCD of 745, 318, 269, 533 on a calculator?
You can find the GCD of 745, 318, 269, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.