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 924, 511, 651 i.e. 7 largest integer that divides all the numbers equally.
GCD of 924, 511, 651 is 7
GCD(924, 511, 651) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 511, 651 is 7
GCD(924, 511, 651) = 7
Given Input numbers are 924, 511, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 511
List of positive integer divisors of 511 that divides 511 without a remainder.
1, 7, 73, 511
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 924, 511, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 511, 651 is 7.
Therefore, GCD of numbers 924, 511, 651 is 7
Given Input Data is 924, 511, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 511 is 7 x 73
Prime Factorization of 651 is 3 x 7 x 31
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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(924, 511) = 67452
GCD(924, 511) = ( 924 x 511 ) / 67452
GCD(924, 511) = 472164 / 67452
GCD(924, 511) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 651) = 651
GCD(7, 651) = ( 7 x 651 ) / 651
GCD(7, 651) = 4557 / 651
GCD(7, 651) = 7
GCD of 924, 511, 651 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 511, 651?
GCD of 924, 511, 651 is 7
2. Where do I get the detailed procedure to find GCD of 924, 511, 651?
You can find a detailed procedure to find GCD of 924, 511, 651 on our page.
3. How to find GCD of 924, 511, 651 on a calculator?
You can find the GCD of 924, 511, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.