GCD of 924, 764, 99 Calculator
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, 764, 99 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 764, 99 is 1
GCD(924, 764, 99) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 764, 99 is 1
GCD(924, 764, 99) = 1
GCDof 924,764,99 is 1
Given Input numbers are 924, 764, 99
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Greatest Common Divisior
We found the divisors of 924, 764, 99 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 764, 99 is 1.
Therefore, GCD of numbers 924, 764, 99 is 1
Given Input Data is 924, 764, 99
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 764 is 2 x 2 x 191
Prime Factorization of 99 is 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 924, 764, 99 using LCM Formula
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, 764) = 176484
GCD(924, 764) = ( 924 x 764 ) / 176484
GCD(924, 764) = 705936 / 176484
GCD(924, 764) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 99) = 396
GCD(4, 99) = ( 4 x 99 ) / 396
GCD(4, 99) = 396 / 396
GCD(4, 99) = 1
GCD of 924, 764, 99 is 1
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FAQs on GCD of numbers 924, 764, 99
1. What is the GCD of 924, 764, 99?
GCD of 924, 764, 99 is 1
2. Where do I get the detailed procedure to find GCD of 924, 764, 99?
You can find a detailed procedure to find GCD of 924, 764, 99 on our page.
3. How to find GCD of 924, 764, 99 on a calculator?
You can find the GCD of 924, 764, 99 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.