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 276, 278, 682, 510 i.e. 2 largest integer that divides all the numbers equally.
GCD of 276, 278, 682, 510 is 2
GCD(276, 278, 682, 510) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 278, 682, 510 is 2
GCD(276, 278, 682, 510) = 2
Given Input numbers are 276, 278, 682, 510
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 276, 278, 682, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 278, 682, 510 is 2.
Therefore, GCD of numbers 276, 278, 682, 510 is 2
Given Input Data is 276, 278, 682, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 278 is 2 x 139
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 510 is 2 x 3 x 5 x 17
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(276, 278) = 38364
GCD(276, 278) = ( 276 x 278 ) / 38364
GCD(276, 278) = 76728 / 38364
GCD(276, 278) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 682) = 682
GCD(2, 682) = ( 2 x 682 ) / 682
GCD(2, 682) = 1364 / 682
GCD(2, 682) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 510) = 510
GCD(2, 510) = ( 2 x 510 ) / 510
GCD(2, 510) = 1020 / 510
GCD(2, 510) = 2
GCD of 276, 278, 682, 510 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 278, 682, 510?
GCD of 276, 278, 682, 510 is 2
2. Where do I get the detailed procedure to find GCD of 276, 278, 682, 510?
You can find a detailed procedure to find GCD of 276, 278, 682, 510 on our page.
3. How to find GCD of 276, 278, 682, 510 on a calculator?
You can find the GCD of 276, 278, 682, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.