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 532, 962, 66, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 532, 962, 66, 729 is 1
GCD(532, 962, 66, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 532, 962, 66, 729 is 1
GCD(532, 962, 66, 729) = 1
Given Input numbers are 532, 962, 66, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
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 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 532, 962, 66, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 962, 66, 729 is 1.
Therefore, GCD of numbers 532, 962, 66, 729 is 1
Given Input Data is 532, 962, 66, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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(532, 962) = 255892
GCD(532, 962) = ( 532 x 962 ) / 255892
GCD(532, 962) = 511784 / 255892
GCD(532, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 66) = 66
GCD(2, 66) = ( 2 x 66 ) / 66
GCD(2, 66) = 132 / 66
GCD(2, 66) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 729) = 1458
GCD(2, 729) = ( 2 x 729 ) / 1458
GCD(2, 729) = 1458 / 1458
GCD(2, 729) = 1
GCD of 532, 962, 66, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 532, 962, 66, 729?
GCD of 532, 962, 66, 729 is 1
2. Where do I get the detailed procedure to find GCD of 532, 962, 66, 729?
You can find a detailed procedure to find GCD of 532, 962, 66, 729 on our page.
3. How to find GCD of 532, 962, 66, 729 on a calculator?
You can find the GCD of 532, 962, 66, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.