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 576, 768, 92, 742 i.e. 2 largest integer that divides all the numbers equally.
GCD of 576, 768, 92, 742 is 2
GCD(576, 768, 92, 742) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 768, 92, 742 is 2
GCD(576, 768, 92, 742) = 2
Given Input numbers are 576, 768, 92, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 768
List of positive integer divisors of 768 that divides 768 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 576, 768, 92, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 768, 92, 742 is 2.
Therefore, GCD of numbers 576, 768, 92, 742 is 2
Given Input Data is 576, 768, 92, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 742 is 2 x 7 x 53
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(576, 768) = 2304
GCD(576, 768) = ( 576 x 768 ) / 2304
GCD(576, 768) = 442368 / 2304
GCD(576, 768) = 192
Step2:
Here we consider the GCD from the above i.e. 192 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(192, 92) = 4416
GCD(192, 92) = ( 192 x 92 ) / 4416
GCD(192, 92) = 17664 / 4416
GCD(192, 92) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 742) = 1484
GCD(4, 742) = ( 4 x 742 ) / 1484
GCD(4, 742) = 2968 / 1484
GCD(4, 742) = 2
GCD of 576, 768, 92, 742 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 768, 92, 742?
GCD of 576, 768, 92, 742 is 2
2. Where do I get the detailed procedure to find GCD of 576, 768, 92, 742?
You can find a detailed procedure to find GCD of 576, 768, 92, 742 on our page.
3. How to find GCD of 576, 768, 92, 742 on a calculator?
You can find the GCD of 576, 768, 92, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.