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, 174, 66, 117 i.e. 3 largest integer that divides all the numbers equally.
GCD of 480, 174, 66, 117 is 3
GCD(480, 174, 66, 117) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 174, 66, 117 is 3
GCD(480, 174, 66, 117) = 3
Given Input numbers are 480, 174, 66, 117
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 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Greatest Common Divisior
We found the divisors of 480, 174, 66, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 174, 66, 117 is 3.
Therefore, GCD of numbers 480, 174, 66, 117 is 3
Given Input Data is 480, 174, 66, 117
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 174 is 2 x 3 x 29
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 117 is 3 x 3 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 174) = 13920
GCD(480, 174) = ( 480 x 174 ) / 13920
GCD(480, 174) = 83520 / 13920
GCD(480, 174) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 66) = 66
GCD(6, 66) = ( 6 x 66 ) / 66
GCD(6, 66) = 396 / 66
GCD(6, 66) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 117
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 117) = 234
GCD(6, 117) = ( 6 x 117 ) / 234
GCD(6, 117) = 702 / 234
GCD(6, 117) = 3
GCD of 480, 174, 66, 117 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 174, 66, 117?
GCD of 480, 174, 66, 117 is 3
2. Where do I get the detailed procedure to find GCD of 480, 174, 66, 117?
You can find a detailed procedure to find GCD of 480, 174, 66, 117 on our page.
3. How to find GCD of 480, 174, 66, 117 on a calculator?
You can find the GCD of 480, 174, 66, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.