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 460, 710, 796, 210 i.e. 2 largest integer that divides all the numbers equally.
GCD of 460, 710, 796, 210 is 2
GCD(460, 710, 796, 210) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 710, 796, 210 is 2
GCD(460, 710, 796, 210) = 2
Given Input numbers are 460, 710, 796, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
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
Greatest Common Divisior
We found the divisors of 460, 710, 796, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 710, 796, 210 is 2.
Therefore, GCD of numbers 460, 710, 796, 210 is 2
Given Input Data is 460, 710, 796, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(460, 710) = 32660
GCD(460, 710) = ( 460 x 710 ) / 32660
GCD(460, 710) = 326600 / 32660
GCD(460, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 796
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 796) = 3980
GCD(10, 796) = ( 10 x 796 ) / 3980
GCD(10, 796) = 7960 / 3980
GCD(10, 796) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 210) = 210
GCD(2, 210) = ( 2 x 210 ) / 210
GCD(2, 210) = 420 / 210
GCD(2, 210) = 2
GCD of 460, 710, 796, 210 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 710, 796, 210?
GCD of 460, 710, 796, 210 is 2
2. Where do I get the detailed procedure to find GCD of 460, 710, 796, 210?
You can find a detailed procedure to find GCD of 460, 710, 796, 210 on our page.
3. How to find GCD of 460, 710, 796, 210 on a calculator?
You can find the GCD of 460, 710, 796, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.