GCD of 492, 270, 664 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 492, 270, 664 i.e. 2 largest integer that divides all the numbers equally.
GCD of 492, 270, 664 is 2
GCD(492, 270, 664) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 270, 664 is 2
GCD(492, 270, 664) = 2
GCDof 492,270,664 is 2
Given Input numbers are 492, 270, 664
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Greatest Common Divisior
We found the divisors of 492, 270, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 270, 664 is 2.
Therefore, GCD of numbers 492, 270, 664 is 2
Given Input Data is 492, 270, 664
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 664 is 2 x 2 x 2 x 83
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 492, 270, 664 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(492, 270) = 22140
GCD(492, 270) = ( 492 x 270 ) / 22140
GCD(492, 270) = 132840 / 22140
GCD(492, 270) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 664
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 664) = 1992
GCD(6, 664) = ( 6 x 664 ) / 1992
GCD(6, 664) = 3984 / 1992
GCD(6, 664) = 2
GCD of 492, 270, 664 is 2
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 492, 270, 664
1. What is the GCD of 492, 270, 664?
GCD of 492, 270, 664 is 2
2. Where do I get the detailed procedure to find GCD of 492, 270, 664?
You can find a detailed procedure to find GCD of 492, 270, 664 on our page.
3. How to find GCD of 492, 270, 664 on a calculator?
You can find the GCD of 492, 270, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.