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 974, 108, 200 i.e. 2 largest integer that divides all the numbers equally.
GCD of 974, 108, 200 is 2
GCD(974, 108, 200) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 108, 200 is 2
GCD(974, 108, 200) = 2
Given Input numbers are 974, 108, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
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
Greatest Common Divisior
We found the divisors of 974, 108, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 108, 200 is 2.
Therefore, GCD of numbers 974, 108, 200 is 2
Given Input Data is 974, 108, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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(974, 108) = 52596
GCD(974, 108) = ( 974 x 108 ) / 52596
GCD(974, 108) = 105192 / 52596
GCD(974, 108) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
GCD(2, 200) = 400 / 200
GCD(2, 200) = 2
GCD of 974, 108, 200 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 108, 200?
GCD of 974, 108, 200 is 2
2. Where do I get the detailed procedure to find GCD of 974, 108, 200?
You can find a detailed procedure to find GCD of 974, 108, 200 on our page.
3. How to find GCD of 974, 108, 200 on a calculator?
You can find the GCD of 974, 108, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.