GCD of 171, 647, 42 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 171, 647, 42 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 647, 42 is 1
GCD(171, 647, 42) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 647, 42 is 1
GCD(171, 647, 42) = 1
GCDof 171,647,42 is 1
Given Input numbers are 171, 647, 42
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Greatest Common Divisior
We found the divisors of 171, 647, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 647, 42 is 1.
Therefore, GCD of numbers 171, 647, 42 is 1
Given Input Data is 171, 647, 42
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 647 is 647
Prime Factorization of 42 is 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 171, 647, 42 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(171, 647) = 110637
GCD(171, 647) = ( 171 x 647 ) / 110637
GCD(171, 647) = 110637 / 110637
GCD(171, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
GCD of 171, 647, 42 is 1
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FAQs on GCD of numbers 171, 647, 42
1. What is the GCD of 171, 647, 42?
GCD of 171, 647, 42 is 1
2. Where do I get the detailed procedure to find GCD of 171, 647, 42?
You can find a detailed procedure to find GCD of 171, 647, 42 on our page.
3. How to find GCD of 171, 647, 42 on a calculator?
You can find the GCD of 171, 647, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
