GCD of 462, 454, 75 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, 454, 75 i.e. 1 largest integer that divides all the numbers equally.
GCD of 462, 454, 75 is 1
GCD(462, 454, 75) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 462, 454, 75 is 1
GCD(462, 454, 75) = 1
GCDof 462,454,75 is 1
Given Input numbers are 462, 454, 75
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 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Greatest Common Divisior
We found the divisors of 462, 454, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 454, 75 is 1.
Therefore, GCD of numbers 462, 454, 75 is 1
Given Input Data is 462, 454, 75
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 454 is 2 x 227
Prime Factorization of 75 is 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 462, 454, 75 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, 454) = 104874
GCD(462, 454) = ( 462 x 454 ) / 104874
GCD(462, 454) = 209748 / 104874
GCD(462, 454) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
GCD(2, 75) = 150 / 150
GCD(2, 75) = 1
GCD of 462, 454, 75 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 462, 454, 75
1. What is the GCD of 462, 454, 75?
GCD of 462, 454, 75 is 1
2. Where do I get the detailed procedure to find GCD of 462, 454, 75?
You can find a detailed procedure to find GCD of 462, 454, 75 on our page.
3. How to find GCD of 462, 454, 75 on a calculator?
You can find the GCD of 462, 454, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
