GCD of 418, 290, 746, 240 Calculator

Given Input numbers are 418, 290, 746, 240

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 418, 290, 746, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 290, 746, 240 is 2.

Therefore, GCD of numbers 418, 290, 746, 240 is 2

Given Input Data is 418, 290, 746, 240

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 746 is 2 x 373

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(418, 290) = 60610

GCD(418, 290) = ( 418 x 290 ) / 60610

GCD(418, 290) = 121220 / 60610

GCD(418, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 418, 290, 746, 240 is 2

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1. What is the GCD of 418, 290, 746, 240?

GCD of 418, 290, 746, 240 is 2

2. Where do I get the detailed procedure to find GCD of 418, 290, 746, 240?

You can find a detailed procedure to find GCD of 418, 290, 746, 240 on our page.

3. How to find GCD of 418, 290, 746, 240 on a calculator?

You can find the GCD of 418, 290, 746, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.