GCD of 135, 138, 276, 495 Calculator

Given Input numbers are 135, 138, 276, 495

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (135, 138, 276, 495) = 3.

Given numbers are 135, 138, 276, 495

The list of prime factors of all numbers are

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

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 495 are 3 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 135, 138, 276, 495 is 3.

Given numbers are 135, 138, 276, 495

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

Apply this formula for all numbers.

Step1:

LCM(135, 138) = 6210

GCD(135, 138) = ( 135 x 138 ) / 6210

= 135 / 138

= 135

Step2:

LCM(3, 276) = 276

GCD(3, 276) = ( 3 x 276 ) / 276

= 3 / 276

= 3

Step3:

LCM(3, 495) = 495

GCD(3, 495) = ( 3 x 495 ) / 495

= 3 / 495

= 3

So, Greatest Common Divisor of 135, 138, 276, 495 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 997, 155, 100
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Given numbers are 135, 138, 276, 495
The greatest common divisor of numbers 135, 138, 276, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 138, 276, 495 is 3.

1. What is the GCD of 135, 138, 276, 495?

GCD of given numbers 135, 138, 276, 495 is 3

2. How to calculate the greatest common divisor of 135, 138, 276, 495?

We can find the highest common divisor of 135, 138, 276, 495 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, 138, 276, 495 i.e 3.

3. How can I use the GCD of 135, 138, 276, 495Calculator?

Out the numbers 135, 138, 276, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.