GCD of 270, 426, 438 Calculator

Given Input numbers are 270, 426, 438

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 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (270, 426, 438) = 6.

Given numbers are 270, 426, 438

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 426 are 2 x 3 x 71

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 270, 426, 438 is 6.

Given numbers are 270, 426, 438

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

Apply this formula for all numbers.

Step1:

LCM(270, 426) = 19170

GCD(270, 426) = ( 270 x 426 ) / 19170

= 270 / 426

= 270

Step2:

LCM(6, 438) = 438

GCD(6, 438) = ( 6 x 438 ) / 438

= 6 / 438

= 6

So, Greatest Common Divisor of 270, 426, 438 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 676, 640
• GCD of 901, 380, 494
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Given numbers are 270, 426, 438
The greatest common divisor of numbers 270, 426, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 426, 438 is 6.

1. What is the GCD of 270, 426, 438?

GCD of given numbers 270, 426, 438 is 6

2. How to calculate the greatest common divisor of 270, 426, 438?

We can find the highest common divisor of 270, 426, 438 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, 426, 438 i.e 6.

3. How can I use the GCD of 270, 426, 438Calculator?

Out the numbers 270, 426, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.