GCD of 270, 564, 156 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 270, 564, 156 quickly. Get the easiest ways to solve the greatest common divisor of 270, 564, 156 i.e 6 in different methods as follows.
Given Input numbers are 270, 564, 156
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (270, 564, 156) = 6.
Given numbers are 270, 564, 156
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21 x 31
Therefore, GCD of 270, 564, 156 is 6.
Steps to Calculate GCD of 270, 564, 156 using LCM Formula
Given numbers are 270, 564, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 564) = 25380
GCD(270, 564) = ( 270 x 564 ) / 25380
= 270 / 564
= 270
Step2:
LCM(6, 156) = 156
GCD(6, 156) = ( 6 x 156 ) / 156
= 6 / 156
= 6
So, Greatest Common Divisor of 270, 564, 156 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 270, 564, 156
Given numbers are 270, 564, 156
The greatest common divisor of numbers 270, 564, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 564, 156 is 6.
FAQs on GCD of 270, 564, 156 Calculator
1. What is the GCD of 270, 564, 156?
GCD of given numbers 270, 564, 156 is 6
2. How to calculate the greatest common divisor of 270, 564, 156?
We can find the highest common divisor of 270, 564, 156 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 270, 564, 156 i.e 6.
3. How can I use the GCD of 270, 564, 156Calculator?
Out the numbers 270, 564, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.