GCD of 486, 672, 10 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 486, 672, 10 i.e. 2 largest integer that divides all the numbers equally.
GCD of 486, 672, 10 is 2
GCD(486, 672, 10) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 672, 10 is 2
GCD(486, 672, 10) = 2
GCDof 486,672,10 is 2
Given Input numbers are 486, 672, 10
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Greatest Common Divisior
We found the divisors of 486, 672, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 672, 10 is 2.
Therefore, GCD of numbers 486, 672, 10 is 2
Given Input Data is 486, 672, 10
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 10 is 2 x 5
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 486, 672, 10 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(486, 672) = 54432
GCD(486, 672) = ( 486 x 672 ) / 54432
GCD(486, 672) = 326592 / 54432
GCD(486, 672) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 10) = 30
GCD(6, 10) = ( 6 x 10 ) / 30
GCD(6, 10) = 60 / 30
GCD(6, 10) = 2
GCD of 486, 672, 10 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 486, 672, 10
1. What is the GCD of 486, 672, 10?
GCD of 486, 672, 10 is 2
2. Where do I get the detailed procedure to find GCD of 486, 672, 10?
You can find a detailed procedure to find GCD of 486, 672, 10 on our page.
3. How to find GCD of 486, 672, 10 on a calculator?
You can find the GCD of 486, 672, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.