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, 265, 358, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 265, 358, 874 is 1
GCD(576, 265, 358, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 265, 358, 874 is 1
GCD(576, 265, 358, 874) = 1
Given Input numbers are 576, 265, 358, 874
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 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 576, 265, 358, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 265, 358, 874 is 1.
Therefore, GCD of numbers 576, 265, 358, 874 is 1
Given Input Data is 576, 265, 358, 874
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 265 is 5 x 53
Prime Factorization of 358 is 2 x 179
Prime Factorization of 874 is 2 x 19 x 23
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(576, 265) = 152640
GCD(576, 265) = ( 576 x 265 ) / 152640
GCD(576, 265) = 152640 / 152640
GCD(576, 265) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 576, 265, 358, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 265, 358, 874?
GCD of 576, 265, 358, 874 is 1
2. Where do I get the detailed procedure to find GCD of 576, 265, 358, 874?
You can find a detailed procedure to find GCD of 576, 265, 358, 874 on our page.
3. How to find GCD of 576, 265, 358, 874 on a calculator?
You can find the GCD of 576, 265, 358, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.