GCD of 135, 186, 76, 463 Calculator

Given Input numbers are 135, 186, 76, 463

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 135, 186, 76, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 186, 76, 463 is 1.

Therefore, GCD of numbers 135, 186, 76, 463 is 1

Given Input Data is 135, 186, 76, 463

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 463 is 463

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(135, 186) = 8370

GCD(135, 186) = ( 135 x 186 ) / 8370

GCD(135, 186) = 25110 / 8370

GCD(135, 186) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 135, 186, 76, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 985, 67, 885
• GCD of 295, 839, 28, 896
• GCD of 696, 901, 70, 983
• GCD of 463, 563, 19, 911
• GCD of 836, 376, 12, 305

1. What is the GCD of 135, 186, 76, 463?

GCD of 135, 186, 76, 463 is 1

2. Where do I get the detailed procedure to find GCD of 135, 186, 76, 463?

You can find a detailed procedure to find GCD of 135, 186, 76, 463 on our page.

3. How to find GCD of 135, 186, 76, 463 on a calculator?

You can find the GCD of 135, 186, 76, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.