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 210, 398, 50, 640 i.e. 2 largest integer that divides all the numbers equally.
GCD of 210, 398, 50, 640 is 2
GCD(210, 398, 50, 640) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 210, 398, 50, 640 is 2
GCD(210, 398, 50, 640) = 2
Given Input numbers are 210, 398, 50, 640
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 210, 398, 50, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 398, 50, 640 is 2.
Therefore, GCD of numbers 210, 398, 50, 640 is 2
Given Input Data is 210, 398, 50, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 398 is 2 x 199
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(210, 398) = 41790
GCD(210, 398) = ( 210 x 398 ) / 41790
GCD(210, 398) = 83580 / 41790
GCD(210, 398) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 50) = 50
GCD(2, 50) = ( 2 x 50 ) / 50
GCD(2, 50) = 100 / 50
GCD(2, 50) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 640) = 640
GCD(2, 640) = ( 2 x 640 ) / 640
GCD(2, 640) = 1280 / 640
GCD(2, 640) = 2
GCD of 210, 398, 50, 640 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 210, 398, 50, 640?
GCD of 210, 398, 50, 640 is 2
2. Where do I get the detailed procedure to find GCD of 210, 398, 50, 640?
You can find a detailed procedure to find GCD of 210, 398, 50, 640 on our page.
3. How to find GCD of 210, 398, 50, 640 on a calculator?
You can find the GCD of 210, 398, 50, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.