GCD of 180, 474, 270 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 180, 474, 270 quickly. Get the easiest ways to solve the greatest common divisor of 180, 474, 270 i.e 6 in different methods as follows.
Given Input numbers are 180, 474, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (180, 474, 270) = 6.
Given numbers are 180, 474, 270
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 474 are 2 x 3 x 79
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 21 x 31
Therefore, GCD of 180, 474, 270 is 6.
Steps to Calculate GCD of 180, 474, 270 using LCM Formula
Given numbers are 180, 474, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 474) = 14220
GCD(180, 474) = ( 180 x 474 ) / 14220
= 180 / 474
= 180
Step2:
LCM(6, 270) = 270
GCD(6, 270) = ( 6 x 270 ) / 270
= 6 / 270
= 6
So, Greatest Common Divisor of 180, 474, 270 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 180, 474, 270
Given numbers are 180, 474, 270
The greatest common divisor of numbers 180, 474, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 474, 270 is 6.
FAQs on GCD of 180, 474, 270 Calculator
1. What is the GCD of 180, 474, 270?
GCD of given numbers 180, 474, 270 is 6
2. How to calculate the greatest common divisor of 180, 474, 270?
We can find the highest common divisor of 180, 474, 270 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 180, 474, 270 i.e 6.
3. How can I use the GCD of 180, 474, 270Calculator?
Out the numbers 180, 474, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.