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 340, 460, 28, 506 i.e. 2 largest integer that divides all the numbers equally.
GCD of 340, 460, 28, 506 is 2
GCD(340, 460, 28, 506) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 460, 28, 506 is 2
GCD(340, 460, 28, 506) = 2
Given Input numbers are 340, 460, 28, 506
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
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 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Greatest Common Divisior
We found the divisors of 340, 460, 28, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 460, 28, 506 is 2.
Therefore, GCD of numbers 340, 460, 28, 506 is 2
Given Input Data is 340, 460, 28, 506
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 506 is 2 x 11 x 23
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(340, 460) = 7820
GCD(340, 460) = ( 340 x 460 ) / 7820
GCD(340, 460) = 156400 / 7820
GCD(340, 460) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 28) = 140
GCD(20, 28) = ( 20 x 28 ) / 140
GCD(20, 28) = 560 / 140
GCD(20, 28) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 506) = 1012
GCD(4, 506) = ( 4 x 506 ) / 1012
GCD(4, 506) = 2024 / 1012
GCD(4, 506) = 2
GCD of 340, 460, 28, 506 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 460, 28, 506?
GCD of 340, 460, 28, 506 is 2
2. Where do I get the detailed procedure to find GCD of 340, 460, 28, 506?
You can find a detailed procedure to find GCD of 340, 460, 28, 506 on our page.
3. How to find GCD of 340, 460, 28, 506 on a calculator?
You can find the GCD of 340, 460, 28, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.