GCD of 288, 123, 705, 261 Calculator

Given Input numbers are 288, 123, 705, 261

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 261 :

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

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (288, 123, 705, 261) = 3.

Given numbers are 288, 123, 705, 261

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 123 are 3 x 41

Prime factors of 705 are 3 x 5 x 47

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 288, 123, 705, 261 is 3.

Given numbers are 288, 123, 705, 261

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

Apply this formula for all numbers.

Step1:

LCM(288, 123) = 11808

GCD(288, 123) = ( 288 x 123 ) / 11808

= 288 / 123

= 288

Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

Step3:

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

= 3 / 261

= 3

So, Greatest Common Divisor of 288, 123, 705, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 867, 528, 230
• GCD of 897, 781, 890, 918
• GCD of 633, 198, 940, 759
• GCD of 628, 745, 590, 836
• GCD of 756, 481, 835, 157

Given numbers are 288, 123, 705, 261
The greatest common divisor of numbers 288, 123, 705, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 123, 705, 261 is 3.

1. What is the GCD of 288, 123, 705, 261?

GCD of given numbers 288, 123, 705, 261 is 3

2. How to calculate the greatest common divisor of 288, 123, 705, 261?

We can find the highest common divisor of 288, 123, 705, 261 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 288, 123, 705, 261 i.e 3.

3. How can I use the GCD of 288, 123, 705, 261Calculator?

Out the numbers 288, 123, 705, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.