GCD of 540, 136, 116, 276 Calculator

Given Input numbers are 540, 136, 116, 276

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

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

GCD of numbers is the greatest common divisor

So, the GCD (540, 136, 116, 276) = 4.

Given numbers are 540, 136, 116, 276

The list of prime factors of all numbers are

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

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 116 are 2 x 2 x 29

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 2²

Therefore, GCD of 540, 136, 116, 276 is 4.

Given numbers are 540, 136, 116, 276

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

Apply this formula for all numbers.

Step1:

LCM(540, 136) = 18360

GCD(540, 136) = ( 540 x 136 ) / 18360

= 540 / 136

= 540

Step2:

LCM(4, 116) = 116

GCD(4, 116) = ( 4 x 116 ) / 116

= 4 / 116

= 4

Step3:

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

= 4 / 276

= 4

So, Greatest Common Divisor of 540, 136, 116, 276 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 870, 239, 847
• GCD of 801, 747, 657, 324
• GCD of 195, 813, 319, 821
• GCD of 711, 599, 785, 434
• GCD of 601, 465, 758, 994

Given numbers are 540, 136, 116, 276
The greatest common divisor of numbers 540, 136, 116, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 136, 116, 276 is 4.

1. What is the GCD of 540, 136, 116, 276?

GCD of given numbers 540, 136, 116, 276 is 4

2. How to calculate the greatest common divisor of 540, 136, 116, 276?

We can find the highest common divisor of 540, 136, 116, 276 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 540, 136, 116, 276 i.e 4.

3. How can I use the GCD of 540, 136, 116, 276Calculator?

Out the numbers 540, 136, 116, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.