GCD of 462, 315, 686 Calculator
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 462, 315, 686 i.e. 7 largest integer that divides all the numbers equally.
GCD of 462, 315, 686 is 7
GCD(462, 315, 686) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 315, 686 is 7
GCD(462, 315, 686) = 7
GCDof 462,315,686 is 7
Given Input numbers are 462, 315, 686
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
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 462, 315, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 315, 686 is 7.
Therefore, GCD of numbers 462, 315, 686 is 7
Given Input Data is 462, 315, 686
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 686 is 2 x 7 x 7 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 462, 315, 686 using LCM Formula
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(462, 315) = 6930
GCD(462, 315) = ( 462 x 315 ) / 6930
GCD(462, 315) = 145530 / 6930
GCD(462, 315) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 686
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 686) = 2058
GCD(21, 686) = ( 21 x 686 ) / 2058
GCD(21, 686) = 14406 / 2058
GCD(21, 686) = 7
GCD of 462, 315, 686 is 7
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 462, 315, 686
1. What is the GCD of 462, 315, 686?
GCD of 462, 315, 686 is 7
2. Where do I get the detailed procedure to find GCD of 462, 315, 686?
You can find a detailed procedure to find GCD of 462, 315, 686 on our page.
3. How to find GCD of 462, 315, 686 on a calculator?
You can find the GCD of 462, 315, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.