GCD of 168, 408, 540, 261 Calculator

Given Input numbers are 168, 408, 540, 261

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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 (168, 408, 540, 261) = 3.

Given numbers are 168, 408, 540, 261

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 168, 408, 540, 261 is 3.

Given numbers are 168, 408, 540, 261

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

Apply this formula for all numbers.

Step1:

LCM(168, 408) = 2856

GCD(168, 408) = ( 168 x 408 ) / 2856

= 168 / 408

= 168

Step2:

LCM(24, 540) = 1080

GCD(24, 540) = ( 24 x 540 ) / 1080

= 24 / 540

= 24

Step3:

LCM(12, 261) = 1044

GCD(12, 261) = ( 12 x 261 ) / 1044

= 12 / 261

= 12

So, Greatest Common Divisor of 168, 408, 540, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 631, 245, 462
• GCD of 909, 403, 936, 534
• GCD of 535, 760, 309, 551
• GCD of 271, 468, 185, 191
• GCD of 639, 845, 574, 205

Given numbers are 168, 408, 540, 261
The greatest common divisor of numbers 168, 408, 540, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 408, 540, 261 is 3.

1. What is the GCD of 168, 408, 540, 261?

GCD of given numbers 168, 408, 540, 261 is 3

2. How to calculate the greatest common divisor of 168, 408, 540, 261?

We can find the highest common divisor of 168, 408, 540, 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 168, 408, 540, 261 i.e 3.

3. How can I use the GCD of 168, 408, 540, 261Calculator?

Out the numbers 168, 408, 540, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.