GCD of 270, 426, 420, 927 Calculator

Given Input numbers are 270, 426, 420, 927

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 927 :

The positive integer divisors of 927 that completely divides 927 are.

1, 3, 9, 103, 309, 927

GCD of numbers is the greatest common divisor

So, the GCD (270, 426, 420, 927) = 3.

Given numbers are 270, 426, 420, 927

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 927 are 3 x 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 270, 426, 420, 927 is 3.

Given numbers are 270, 426, 420, 927

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, 420) = 420

GCD(6, 420) = ( 6 x 420 ) / 420

= 6 / 420

= 6

Step3:

LCM(6, 927) = 1854

GCD(6, 927) = ( 6 x 927 ) / 1854

= 6 / 927

= 6

So, Greatest Common Divisor of 270, 426, 420, 927 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 288, 287, 653
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Given numbers are 270, 426, 420, 927
The greatest common divisor of numbers 270, 426, 420, 927 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 426, 420, 927 is 3.

1. What is the GCD of 270, 426, 420, 927?

GCD of given numbers 270, 426, 420, 927 is 3

2. How to calculate the greatest common divisor of 270, 426, 420, 927?

We can find the highest common divisor of 270, 426, 420, 927 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, 420, 927 i.e 3.

3. How can I use the GCD of 270, 426, 420, 927Calculator?

Out the numbers 270, 426, 420, 927 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.