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 573, 746, 535, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 573, 746, 535, 493 is 1
GCD(573, 746, 535, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 746, 535, 493 is 1
GCD(573, 746, 535, 493) = 1
Given Input numbers are 573, 746, 535, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 573, 746, 535, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 746, 535, 493 is 1.
Therefore, GCD of numbers 573, 746, 535, 493 is 1
Given Input Data is 573, 746, 535, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 746 is 2 x 373
Prime Factorization of 535 is 5 x 107
Prime Factorization of 493 is 17 x 29
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(573, 746) = 427458
GCD(573, 746) = ( 573 x 746 ) / 427458
GCD(573, 746) = 427458 / 427458
GCD(573, 746) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 535
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 535) = 535
GCD(1, 535) = ( 1 x 535 ) / 535
GCD(1, 535) = 535 / 535
GCD(1, 535) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 573, 746, 535, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 746, 535, 493?
GCD of 573, 746, 535, 493 is 1
2. Where do I get the detailed procedure to find GCD of 573, 746, 535, 493?
You can find a detailed procedure to find GCD of 573, 746, 535, 493 on our page.
3. How to find GCD of 573, 746, 535, 493 on a calculator?
You can find the GCD of 573, 746, 535, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.