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, 692, 72, 902 i.e. 2 largest integer that divides all the numbers equally.
GCD of 200, 692, 72, 902 is 2
GCD(200, 692, 72, 902) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 200, 692, 72, 902 is 2
GCD(200, 692, 72, 902) = 2
Given Input numbers are 200, 692, 72, 902
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 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Greatest Common Divisior
We found the divisors of 200, 692, 72, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 692, 72, 902 is 2.
Therefore, GCD of numbers 200, 692, 72, 902 is 2
Given Input Data is 200, 692, 72, 902
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 692 is 2 x 2 x 173
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 902 is 2 x 11 x 41
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, 692) = 34600
GCD(200, 692) = ( 200 x 692 ) / 34600
GCD(200, 692) = 138400 / 34600
GCD(200, 692) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 72) = 72
GCD(4, 72) = ( 4 x 72 ) / 72
GCD(4, 72) = 288 / 72
GCD(4, 72) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 902
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 902) = 1804
GCD(4, 902) = ( 4 x 902 ) / 1804
GCD(4, 902) = 3608 / 1804
GCD(4, 902) = 2
GCD of 200, 692, 72, 902 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 200, 692, 72, 902?
GCD of 200, 692, 72, 902 is 2
2. Where do I get the detailed procedure to find GCD of 200, 692, 72, 902?
You can find a detailed procedure to find GCD of 200, 692, 72, 902 on our page.
3. How to find GCD of 200, 692, 72, 902 on a calculator?
You can find the GCD of 200, 692, 72, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.