GCD of 135, 276, 349, 540 Calculator

Given Input numbers are 135, 276, 349, 540

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

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

GCD of numbers is the greatest common divisor

So, the GCD (135, 276, 349, 540) = 1.

Given numbers are 135, 276, 349, 540

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

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

Prime factors of 349 are 349

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 135, 276, 349, 540

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

Apply this formula for all numbers.

Step1:

LCM(135, 276) = 12420

GCD(135, 276) = ( 135 x 276 ) / 12420

= 135 / 276

= 135

Step2:

LCM(3, 349) = 1047

GCD(3, 349) = ( 3 x 349 ) / 1047

= 3 / 349

= 3

Step3:

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

= 1 / 540

= 1

So, Greatest Common Divisor of 135, 276, 349, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 809, 457, 759
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Given numbers are 135, 276, 349, 540
The greatest common divisor of numbers 135, 276, 349, 540 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 276, 349, 540 is 1.

1. What is the GCD of 135, 276, 349, 540?

GCD of given numbers 135, 276, 349, 540 is 1

2. How to calculate the greatest common divisor of 135, 276, 349, 540?

We can find the highest common divisor of 135, 276, 349, 540 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 135, 276, 349, 540 i.e 1.

3. How can I use the GCD of 135, 276, 349, 540Calculator?

Out the numbers 135, 276, 349, 540 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.