GCD of 261, 144, 663, 528 Calculator

Given Input numbers are 261, 144, 663, 528

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (261, 144, 663, 528) = 3.

Given numbers are 261, 144, 663, 528

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 663 are 3 x 13 x 17

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 261, 144, 663, 528 is 3.

Given numbers are 261, 144, 663, 528

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

Apply this formula for all numbers.

Step1:

LCM(261, 144) = 4176

GCD(261, 144) = ( 261 x 144 ) / 4176

= 261 / 144

= 261

Step2:

LCM(9, 663) = 1989

GCD(9, 663) = ( 9 x 663 ) / 1989

= 9 / 663

= 9

Step3:

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

= 3 / 528

= 3

So, Greatest Common Divisor of 261, 144, 663, 528 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 892, 112, 793
• GCD of 572, 697, 306, 472
• GCD of 163, 110, 211, 346
• GCD of 924, 268, 368, 227
• GCD of 616, 661, 178, 874

Given numbers are 261, 144, 663, 528
The greatest common divisor of numbers 261, 144, 663, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 144, 663, 528 is 3.

1. What is the GCD of 261, 144, 663, 528?

GCD of given numbers 261, 144, 663, 528 is 3

2. How to calculate the greatest common divisor of 261, 144, 663, 528?

We can find the highest common divisor of 261, 144, 663, 528 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, 144, 663, 528 i.e 3.

3. How can I use the GCD of 261, 144, 663, 528Calculator?

Out the numbers 261, 144, 663, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.