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, 657, 753 i.e. 3 largest integer that divides all the numbers equally.
GCD of 924, 657, 753 is 3
GCD(924, 657, 753) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 657, 753 is 3
GCD(924, 657, 753) = 3
Given Input numbers are 924, 657, 753
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 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 924, 657, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 657, 753 is 3.
Therefore, GCD of numbers 924, 657, 753 is 3
Given Input Data is 924, 657, 753
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 657 is 3 x 3 x 73
Prime Factorization of 753 is 3 x 251
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(924, 657) = 202356
GCD(924, 657) = ( 924 x 657 ) / 202356
GCD(924, 657) = 607068 / 202356
GCD(924, 657) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 753) = 753
GCD(3, 753) = ( 3 x 753 ) / 753
GCD(3, 753) = 2259 / 753
GCD(3, 753) = 3
GCD of 924, 657, 753 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 657, 753?
GCD of 924, 657, 753 is 3
2. Where do I get the detailed procedure to find GCD of 924, 657, 753?
You can find a detailed procedure to find GCD of 924, 657, 753 on our page.
3. How to find GCD of 924, 657, 753 on a calculator?
You can find the GCD of 924, 657, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.