GCD of 36, 110, 146, 618 Calculator

Given Input numbers are 36, 110, 146, 618

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 36, 110, 146, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 110, 146, 618 is 2.

Therefore, GCD of numbers 36, 110, 146, 618 is 2

Given Input Data is 36, 110, 146, 618

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 146 is 2 x 73

Prime Factorization of 618 is 2 x 3 x 103

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(36, 110) = 1980

GCD(36, 110) = ( 36 x 110 ) / 1980

GCD(36, 110) = 3960 / 1980

GCD(36, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 618

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

LCM(2, 618) = 618

GCD(2, 618) = ( 2 x 618 ) / 618

GCD(2, 618) = 1236 / 618

GCD(2, 618) = 2

GCD of 36, 110, 146, 618 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 336, 156, 305
• GCD of 17, 130, 475, 316
• GCD of 42, 938, 105, 103
• GCD of 74, 644, 194, 494
• GCD of 40, 574, 639, 163

1. What is the GCD of 36, 110, 146, 618?

GCD of 36, 110, 146, 618 is 2

2. Where do I get the detailed procedure to find GCD of 36, 110, 146, 618?

You can find a detailed procedure to find GCD of 36, 110, 146, 618 on our page.

3. How to find GCD of 36, 110, 146, 618 on a calculator?

You can find the GCD of 36, 110, 146, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.