GCD of 261, 981, 132, 648 Calculator

Given Input numbers are 261, 981, 132, 648

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 981 :

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

1, 3, 9, 109, 327, 981

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 (261, 981, 132, 648) = 3.

Given numbers are 261, 981, 132, 648

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 981 are 3 x 3 x 109

Prime factors of 132 are 2 x 2 x 3 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 261, 981, 132, 648 is 3.

Given numbers are 261, 981, 132, 648

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

Apply this formula for all numbers.

Step1:

LCM(261, 981) = 28449

GCD(261, 981) = ( 261 x 981 ) / 28449

= 261 / 981

= 261

Step2:

LCM(9, 132) = 396

GCD(9, 132) = ( 9 x 132 ) / 396

= 9 / 132

= 9

Step3:

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

= 3 / 648

= 3

So, Greatest Common Divisor of 261, 981, 132, 648 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 997, 586, 373
• GCD of 556, 396, 121, 261
• GCD of 668, 441, 397, 709
• GCD of 448, 102, 951, 929
• GCD of 824, 873, 766, 509

Given numbers are 261, 981, 132, 648
The greatest common divisor of numbers 261, 981, 132, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 981, 132, 648 is 3.

1. What is the GCD of 261, 981, 132, 648?

GCD of given numbers 261, 981, 132, 648 is 3

2. How to calculate the greatest common divisor of 261, 981, 132, 648?

We can find the highest common divisor of 261, 981, 132, 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 261, 981, 132, 648 i.e 3.

3. How can I use the GCD of 261, 981, 132, 648Calculator?

Out the numbers 261, 981, 132, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.