GCD of 236, 268, 40, 618 Calculator

Given Input numbers are 236, 268, 40, 618

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

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 236, 268, 40, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 268, 40, 618 is 2.

Therefore, GCD of numbers 236, 268, 40, 618 is 2

Given Input Data is 236, 268, 40, 618

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(236, 268) = 15812

GCD(236, 268) = ( 236 x 268 ) / 15812

GCD(236, 268) = 63248 / 15812

GCD(236, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 618

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

LCM(4, 618) = 1236

GCD(4, 618) = ( 4 x 618 ) / 1236

GCD(4, 618) = 2472 / 1236

GCD(4, 618) = 2

GCD of 236, 268, 40, 618 is 2

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1. What is the GCD of 236, 268, 40, 618?

GCD of 236, 268, 40, 618 is 2

2. Where do I get the detailed procedure to find GCD of 236, 268, 40, 618?

You can find a detailed procedure to find GCD of 236, 268, 40, 618 on our page.

3. How to find GCD of 236, 268, 40, 618 on a calculator?

You can find the GCD of 236, 268, 40, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.