GCD of 261, 540, 342, 345 Calculator

Given Input numbers are 261, 540, 342, 345

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 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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

GCD of numbers is the greatest common divisor

So, the GCD (261, 540, 342, 345) = 3.

Given numbers are 261, 540, 342, 345

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 261, 540, 342, 345 is 3.

Given numbers are 261, 540, 342, 345

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

Apply this formula for all numbers.

Step1:

LCM(261, 540) = 15660

GCD(261, 540) = ( 261 x 540 ) / 15660

= 261 / 540

= 261

Step2:

LCM(9, 342) = 342

GCD(9, 342) = ( 9 x 342 ) / 342

= 9 / 342

= 9

Step3:

LCM(9, 345) = 1035

GCD(9, 345) = ( 9 x 345 ) / 1035

= 9 / 345

= 9

So, Greatest Common Divisor of 261, 540, 342, 345 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 489, 501, 816
• GCD of 329, 516, 961, 924
• GCD of 191, 214, 346, 989
• GCD of 877, 347, 326, 375
• GCD of 519, 961, 975, 307

Given numbers are 261, 540, 342, 345
The greatest common divisor of numbers 261, 540, 342, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 540, 342, 345 is 3.

1. What is the GCD of 261, 540, 342, 345?

GCD of given numbers 261, 540, 342, 345 is 3

2. How to calculate the greatest common divisor of 261, 540, 342, 345?

We can find the highest common divisor of 261, 540, 342, 345 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, 540, 342, 345 i.e 3.

3. How can I use the GCD of 261, 540, 342, 345Calculator?

Out the numbers 261, 540, 342, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.