GCD of 480, 126, 178 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 480, 126, 178 i.e. 2 largest integer that divides all the numbers equally.
GCD of 480, 126, 178 is 2
GCD(480, 126, 178) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 126, 178 is 2
GCD(480, 126, 178) = 2
GCDof 480,126,178 is 2
Given Input numbers are 480, 126, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 480, 126, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 126, 178 is 2.
Therefore, GCD of numbers 480, 126, 178 is 2
Given Input Data is 480, 126, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 178 is 2 x 89
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Finding GCD of 480, 126, 178 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(480, 126) = 10080
GCD(480, 126) = ( 480 x 126 ) / 10080
GCD(480, 126) = 60480 / 10080
GCD(480, 126) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 178) = 534
GCD(6, 178) = ( 6 x 178 ) / 534
GCD(6, 178) = 1068 / 534
GCD(6, 178) = 2
GCD of 480, 126, 178 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 480, 126, 178
1. What is the GCD of 480, 126, 178?
GCD of 480, 126, 178 is 2
2. Where do I get the detailed procedure to find GCD of 480, 126, 178?
You can find a detailed procedure to find GCD of 480, 126, 178 on our page.
3. How to find GCD of 480, 126, 178 on a calculator?
You can find the GCD of 480, 126, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.