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 474, 533, 764, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 474, 533, 764, 605 is 1
GCD(474, 533, 764, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 474, 533, 764, 605 is 1
GCD(474, 533, 764, 605) = 1
Given Input numbers are 474, 533, 764, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 474, 533, 764, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 533, 764, 605 is 1.
Therefore, GCD of numbers 474, 533, 764, 605 is 1
Given Input Data is 474, 533, 764, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 533 is 13 x 41
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 605 is 5 x 11 x 11
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(474, 533) = 252642
GCD(474, 533) = ( 474 x 533 ) / 252642
GCD(474, 533) = 252642 / 252642
GCD(474, 533) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 474, 533, 764, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 474, 533, 764, 605?
GCD of 474, 533, 764, 605 is 1
2. Where do I get the detailed procedure to find GCD of 474, 533, 764, 605?
You can find a detailed procedure to find GCD of 474, 533, 764, 605 on our page.
3. How to find GCD of 474, 533, 764, 605 on a calculator?
You can find the GCD of 474, 533, 764, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.