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, 537, 66, 706 i.e. 1 largest integer that divides all the numbers equally.
GCD of 573, 537, 66, 706 is 1
GCD(573, 537, 66, 706) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 537, 66, 706 is 1
GCD(573, 537, 66, 706) = 1
Given Input numbers are 573, 537, 66, 706
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 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Greatest Common Divisior
We found the divisors of 573, 537, 66, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 537, 66, 706 is 1.
Therefore, GCD of numbers 573, 537, 66, 706 is 1
Given Input Data is 573, 537, 66, 706
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 537 is 3 x 179
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 706 is 2 x 353
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, 537) = 102567
GCD(573, 537) = ( 573 x 537 ) / 102567
GCD(573, 537) = 307701 / 102567
GCD(573, 537) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 706) = 2118
GCD(3, 706) = ( 3 x 706 ) / 2118
GCD(3, 706) = 2118 / 2118
GCD(3, 706) = 1
GCD of 573, 537, 66, 706 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 537, 66, 706?
GCD of 573, 537, 66, 706 is 1
2. Where do I get the detailed procedure to find GCD of 573, 537, 66, 706?
You can find a detailed procedure to find GCD of 573, 537, 66, 706 on our page.
3. How to find GCD of 573, 537, 66, 706 on a calculator?
You can find the GCD of 573, 537, 66, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.