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 200, 892, 74, 576 i.e. 2 largest integer that divides all the numbers equally.
GCD of 200, 892, 74, 576 is 2
GCD(200, 892, 74, 576) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 892, 74, 576 is 2
GCD(200, 892, 74, 576) = 2
Given Input numbers are 200, 892, 74, 576
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
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
Greatest Common Divisior
We found the divisors of 200, 892, 74, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 892, 74, 576 is 2.
Therefore, GCD of numbers 200, 892, 74, 576 is 2
Given Input Data is 200, 892, 74, 576
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 74 is 2 x 37
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
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(200, 892) = 44600
GCD(200, 892) = ( 200 x 892 ) / 44600
GCD(200, 892) = 178400 / 44600
GCD(200, 892) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 74) = 148
GCD(4, 74) = ( 4 x 74 ) / 148
GCD(4, 74) = 296 / 148
GCD(4, 74) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 576) = 576
GCD(2, 576) = ( 2 x 576 ) / 576
GCD(2, 576) = 1152 / 576
GCD(2, 576) = 2
GCD of 200, 892, 74, 576 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 892, 74, 576?
GCD of 200, 892, 74, 576 is 2
2. Where do I get the detailed procedure to find GCD of 200, 892, 74, 576?
You can find a detailed procedure to find GCD of 200, 892, 74, 576 on our page.
3. How to find GCD of 200, 892, 74, 576 on a calculator?
You can find the GCD of 200, 892, 74, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.