GCD of 543, 270, 153 Calculator

Given Input numbers are 543, 270, 153

In the factoring method, we have to find the divisors of all numbers

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

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 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (543, 270, 153) = 3.

Given numbers are 543, 270, 153

The list of prime factors of all numbers are

Prime factors of 543 are 3 x 181

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 543, 270, 153 is 3.

Given numbers are 543, 270, 153

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(543, 270) = 48870

GCD(543, 270) = ( 543 x 270 ) / 48870

= 543 / 270

= 543

Step2:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3

So, Greatest Common Divisor of 543, 270, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 785, 354
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Given numbers are 543, 270, 153
The greatest common divisor of numbers 543, 270, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 543, 270, 153 is 3.

1. What is the GCD of 543, 270, 153?

GCD of given numbers 543, 270, 153 is 3

2. How to calculate the greatest common divisor of 543, 270, 153?

We can find the highest common divisor of 543, 270, 153 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 543, 270, 153 i.e 3.

3. How can I use the GCD of 543, 270, 153Calculator?

Out the numbers 543, 270, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.