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 342, 461, 63 i.e. 1 largest integer that divides all the numbers equally.
GCD of 342, 461, 63 is 1
GCD(342, 461, 63) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 342, 461, 63 is 1
GCD(342, 461, 63) = 1
Given Input numbers are 342, 461, 63
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
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 342, 461, 63 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 461, 63 is 1.
Therefore, GCD of numbers 342, 461, 63 is 1
Given Input Data is 342, 461, 63
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 461 is 461
Prime Factorization of 63 is 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
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(342, 461) = 157662
GCD(342, 461) = ( 342 x 461 ) / 157662
GCD(342, 461) = 157662 / 157662
GCD(342, 461) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 63) = 63
GCD(1, 63) = ( 1 x 63 ) / 63
GCD(1, 63) = 63 / 63
GCD(1, 63) = 1
GCD of 342, 461, 63 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 342, 461, 63?
GCD of 342, 461, 63 is 1
2. Where do I get the detailed procedure to find GCD of 342, 461, 63?
You can find a detailed procedure to find GCD of 342, 461, 63 on our page.
3. How to find GCD of 342, 461, 63 on a calculator?
You can find the GCD of 342, 461, 63 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.