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 651, 276, 69, 729 i.e. 3 largest integer that divides all the numbers equally.
GCD of 651, 276, 69, 729 is 3
GCD(651, 276, 69, 729) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 651, 276, 69, 729 is 3
GCD(651, 276, 69, 729) = 3
Given Input numbers are 651, 276, 69, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
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 651, 276, 69, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 276, 69, 729 is 3.
Therefore, GCD of numbers 651, 276, 69, 729 is 3
Given Input Data is 651, 276, 69, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 651 is 3 x 7 x 31
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 69 is 3 x 23
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(651, 276) = 59892
GCD(651, 276) = ( 651 x 276 ) / 59892
GCD(651, 276) = 179676 / 59892
GCD(651, 276) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 69) = 69
GCD(3, 69) = ( 3 x 69 ) / 69
GCD(3, 69) = 207 / 69
GCD(3, 69) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 729) = 729
GCD(3, 729) = ( 3 x 729 ) / 729
GCD(3, 729) = 2187 / 729
GCD(3, 729) = 3
GCD of 651, 276, 69, 729 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 651, 276, 69, 729?
GCD of 651, 276, 69, 729 is 3
2. Where do I get the detailed procedure to find GCD of 651, 276, 69, 729?
You can find a detailed procedure to find GCD of 651, 276, 69, 729 on our page.
3. How to find GCD of 651, 276, 69, 729 on a calculator?
You can find the GCD of 651, 276, 69, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.