GCD of 338, 546, 63 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 338, 546, 63 i.e. 1 largest integer that divides all the numbers equally.
GCD of 338, 546, 63 is 1
GCD(338, 546, 63) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 338, 546, 63 is 1
GCD(338, 546, 63) = 1
GCDof 338,546,63 is 1
Given Input numbers are 338, 546, 63
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 338
List of positive integer divisors of 338 that divides 338 without a remainder.
1, 2, 13, 26, 169, 338
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Greatest Common Divisior
We found the divisors of 338, 546, 63 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 546, 63 is 1.
Therefore, GCD of numbers 338, 546, 63 is 1
Given Input Data is 338, 546, 63
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 338 is 2 x 13 x 13
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 63 is 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 338, 546, 63 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(338, 546) = 7098
GCD(338, 546) = ( 338 x 546 ) / 7098
GCD(338, 546) = 184548 / 7098
GCD(338, 546) = 26
Step2:
Here we consider the GCD from the above i.e. 26 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(26, 63) = 1638
GCD(26, 63) = ( 26 x 63 ) / 1638
GCD(26, 63) = 1638 / 1638
GCD(26, 63) = 1
GCD of 338, 546, 63 is 1
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FAQs on GCD of numbers 338, 546, 63
1. What is the GCD of 338, 546, 63?
GCD of 338, 546, 63 is 1
2. Where do I get the detailed procedure to find GCD of 338, 546, 63?
You can find a detailed procedure to find GCD of 338, 546, 63 on our page.
3. How to find GCD of 338, 546, 63 on a calculator?
You can find the GCD of 338, 546, 63 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.