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 483, 483, 924, 942 i.e. 3 largest integer that divides all the numbers equally.
GCD of 483, 483, 924, 942 is 3
GCD(483, 483, 924, 942) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 483, 924, 942 is 3
GCD(483, 483, 924, 942) = 3
Given Input numbers are 483, 483, 924, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
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 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 483, 483, 924, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 483, 924, 942 is 3.
Therefore, GCD of numbers 483, 483, 924, 942 is 3
Given Input Data is 483, 483, 924, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 942 is 2 x 3 x 157
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(483, 483) = 483
GCD(483, 483) = ( 483 x 483 ) / 483
GCD(483, 483) = 233289 / 483
GCD(483, 483) = 483
Step2:
Here we consider the GCD from the above i.e. 483 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(483, 924) = 21252
GCD(483, 924) = ( 483 x 924 ) / 21252
GCD(483, 924) = 446292 / 21252
GCD(483, 924) = 21
Step3:
Here we consider the GCD from the above i.e. 21 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 942) = 6594
GCD(21, 942) = ( 21 x 942 ) / 6594
GCD(21, 942) = 19782 / 6594
GCD(21, 942) = 3
GCD of 483, 483, 924, 942 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 483, 924, 942?
GCD of 483, 483, 924, 942 is 3
2. Where do I get the detailed procedure to find GCD of 483, 483, 924, 942?
You can find a detailed procedure to find GCD of 483, 483, 924, 942 on our page.
3. How to find GCD of 483, 483, 924, 942 on a calculator?
You can find the GCD of 483, 483, 924, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.