GCD of 261, 123, 18, 552 Calculator

Given Input numbers are 261, 123, 18, 552

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 123 :

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

1, 3, 41, 123

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

GCD of numbers is the greatest common divisor

So, the GCD (261, 123, 18, 552) = 3.

Given numbers are 261, 123, 18, 552

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 123 are 3 x 41

Prime factors of 18 are 2 x 3 x 3

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 261, 123, 18, 552 is 3.

Given numbers are 261, 123, 18, 552

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

Apply this formula for all numbers.

Step1:

LCM(261, 123) = 10701

GCD(261, 123) = ( 261 x 123 ) / 10701

= 261 / 123

= 261

Step2:

LCM(3, 18) = 18

GCD(3, 18) = ( 3 x 18 ) / 18

= 3 / 18

= 3

Step3:

LCM(3, 552) = 552

GCD(3, 552) = ( 3 x 552 ) / 552

= 3 / 552

= 3

So, Greatest Common Divisor of 261, 123, 18, 552 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 257, 21, 493
• GCD of 945, 659, 65, 246
• GCD of 815, 498, 33, 610
• GCD of 250, 441, 79, 194
• GCD of 467, 118, 48, 986

Given numbers are 261, 123, 18, 552
The greatest common divisor of numbers 261, 123, 18, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 123, 18, 552 is 3.

1. What is the GCD of 261, 123, 18, 552?

GCD of given numbers 261, 123, 18, 552 is 3

2. How to calculate the greatest common divisor of 261, 123, 18, 552?

We can find the highest common divisor of 261, 123, 18, 552 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, 123, 18, 552 i.e 3.

3. How can I use the GCD of 261, 123, 18, 552Calculator?

Out the numbers 261, 123, 18, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.