GCD of 63, 113, 135, 165 Calculator

Given Input numbers are 63, 113, 135, 165

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

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 63, 113, 135, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 113, 135, 165 is 1.

Therefore, GCD of numbers 63, 113, 135, 165 is 1

Given Input Data is 63, 113, 135, 165

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

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 113 is 113

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

Prime Factorization of 165 is 3 x 5 x 11

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(63, 113) = 7119

GCD(63, 113) = ( 63 x 113 ) / 7119

GCD(63, 113) = 7119 / 7119

GCD(63, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 63, 113, 135, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 233, 801, 986
• GCD of 22, 802, 635, 980
• GCD of 55, 455, 608, 991
• GCD of 37, 670, 917, 124
• GCD of 52, 740, 903, 558

1. What is the GCD of 63, 113, 135, 165?

GCD of 63, 113, 135, 165 is 1

2. Where do I get the detailed procedure to find GCD of 63, 113, 135, 165?

You can find a detailed procedure to find GCD of 63, 113, 135, 165 on our page.

3. How to find GCD of 63, 113, 135, 165 on a calculator?

You can find the GCD of 63, 113, 135, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.