GCD of 270, 981, 648 Calculator

Given Input numbers are 270, 981, 648

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 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (270, 981, 648) = 9.

Given numbers are 270, 981, 648

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 981 are 3 x 3 x 109

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3²

Therefore, GCD of 270, 981, 648 is 9.

Given numbers are 270, 981, 648

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

Apply this formula for all numbers.

Step1:

LCM(270, 981) = 29430

GCD(270, 981) = ( 270 x 981 ) / 29430

= 270 / 981

= 270

Step2:

LCM(9, 648) = 648

GCD(9, 648) = ( 9 x 648 ) / 648

= 9 / 648

= 9

So, Greatest Common Divisor of 270, 981, 648 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 936, 503
• GCD of 627, 555, 913
• GCD of 886, 446, 212
• GCD of 888, 405, 363
• GCD of 821, 925, 674

Given numbers are 270, 981, 648
The greatest common divisor of numbers 270, 981, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 981, 648 is 9.

1. What is the GCD of 270, 981, 648?

GCD of given numbers 270, 981, 648 is 9

2. How to calculate the greatest common divisor of 270, 981, 648?

We can find the highest common divisor of 270, 981, 648 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, 981, 648 i.e 9.

3. How can I use the GCD of 270, 981, 648Calculator?

Out the numbers 270, 981, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.