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 303, 924, 801, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 924, 801, 292 is 1
GCD(303, 924, 801, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 924, 801, 292 is 1
GCD(303, 924, 801, 292) = 1
Given Input numbers are 303, 924, 801, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
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 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 303, 924, 801, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 924, 801, 292 is 1.
Therefore, GCD of numbers 303, 924, 801, 292 is 1
Given Input Data is 303, 924, 801, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 292 is 2 x 2 x 73
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(303, 924) = 93324
GCD(303, 924) = ( 303 x 924 ) / 93324
GCD(303, 924) = 279972 / 93324
GCD(303, 924) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 801) = 801
GCD(3, 801) = ( 3 x 801 ) / 801
GCD(3, 801) = 2403 / 801
GCD(3, 801) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 292) = 876
GCD(3, 292) = ( 3 x 292 ) / 876
GCD(3, 292) = 876 / 876
GCD(3, 292) = 1
GCD of 303, 924, 801, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 924, 801, 292?
GCD of 303, 924, 801, 292 is 1
2. Where do I get the detailed procedure to find GCD of 303, 924, 801, 292?
You can find a detailed procedure to find GCD of 303, 924, 801, 292 on our page.
3. How to find GCD of 303, 924, 801, 292 on a calculator?
You can find the GCD of 303, 924, 801, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.