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 246, 294, 76, 686 i.e. 2 largest integer that divides all the numbers equally.
GCD of 246, 294, 76, 686 is 2
GCD(246, 294, 76, 686) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 246, 294, 76, 686 is 2
GCD(246, 294, 76, 686) = 2
Given Input numbers are 246, 294, 76, 686
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 686
List of positive integer divisors of 686 that divides 686 without a remainder.
1, 2, 7, 14, 49, 98, 343, 686
Greatest Common Divisior
We found the divisors of 246, 294, 76, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 246, 294, 76, 686 is 2.
Therefore, GCD of numbers 246, 294, 76, 686 is 2
Given Input Data is 246, 294, 76, 686
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 686 is 2 x 7 x 7 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(246, 294) = 12054
GCD(246, 294) = ( 246 x 294 ) / 12054
GCD(246, 294) = 72324 / 12054
GCD(246, 294) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 76) = 228
GCD(6, 76) = ( 6 x 76 ) / 228
GCD(6, 76) = 456 / 228
GCD(6, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
GCD(2, 686) = 1372 / 686
GCD(2, 686) = 2
GCD of 246, 294, 76, 686 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 246, 294, 76, 686?
GCD of 246, 294, 76, 686 is 2
2. Where do I get the detailed procedure to find GCD of 246, 294, 76, 686?
You can find a detailed procedure to find GCD of 246, 294, 76, 686 on our page.
3. How to find GCD of 246, 294, 76, 686 on a calculator?
You can find the GCD of 246, 294, 76, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.