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 660, 731, 736, 527 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 731, 736, 527 is 1
GCD(660, 731, 736, 527) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 731, 736, 527 is 1
GCD(660, 731, 736, 527) = 1
Given Input numbers are 660, 731, 736, 527
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Greatest Common Divisior
We found the divisors of 660, 731, 736, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 731, 736, 527 is 1.
Therefore, GCD of numbers 660, 731, 736, 527 is 1
Given Input Data is 660, 731, 736, 527
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 731 is 17 x 43
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 527 is 17 x 31
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(660, 731) = 482460
GCD(660, 731) = ( 660 x 731 ) / 482460
GCD(660, 731) = 482460 / 482460
GCD(660, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 527
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 527) = 527
GCD(1, 527) = ( 1 x 527 ) / 527
GCD(1, 527) = 527 / 527
GCD(1, 527) = 1
GCD of 660, 731, 736, 527 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 731, 736, 527?
GCD of 660, 731, 736, 527 is 1
2. Where do I get the detailed procedure to find GCD of 660, 731, 736, 527?
You can find a detailed procedure to find GCD of 660, 731, 736, 527 on our page.
3. How to find GCD of 660, 731, 736, 527 on a calculator?
You can find the GCD of 660, 731, 736, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.