GCD of 462, 148, 347 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 462, 148, 347 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 148, 347 is 1
GCD(462, 148, 347) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 148, 347 is 1
GCD(462, 148, 347) = 1
GCDof 462,148,347 is 1
Given Input numbers are 462, 148, 347
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Greatest Common Divisior
We found the divisors of 462, 148, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 148, 347 is 1.
Therefore, GCD of numbers 462, 148, 347 is 1
Given Input Data is 462, 148, 347
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 347 is 347
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 462, 148, 347 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(462, 148) = 34188
GCD(462, 148) = ( 462 x 148 ) / 34188
GCD(462, 148) = 68376 / 34188
GCD(462, 148) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 347) = 694
GCD(2, 347) = ( 2 x 347 ) / 694
GCD(2, 347) = 694 / 694
GCD(2, 347) = 1
GCD of 462, 148, 347 is 1
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FAQs on GCD of numbers 462, 148, 347
1. What is the GCD of 462, 148, 347?
GCD of 462, 148, 347 is 1
2. Where do I get the detailed procedure to find GCD of 462, 148, 347?
You can find a detailed procedure to find GCD of 462, 148, 347 on our page.
3. How to find GCD of 462, 148, 347 on a calculator?
You can find the GCD of 462, 148, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.