GCD of 460, 742, 40, 782 Calculator

Given Input numbers are 460, 742, 40, 782

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 460, 742, 40, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 742, 40, 782 is 2.

Therefore, GCD of numbers 460, 742, 40, 782 is 2

Given Input Data is 460, 742, 40, 782

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 742 is 2 x 7 x 53

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

Prime Factorization of 782 is 2 x 17 x 23

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(460, 742) = 170660

GCD(460, 742) = ( 460 x 742 ) / 170660

GCD(460, 742) = 341320 / 170660

GCD(460, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 782

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

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

GCD(2, 782) = 1564 / 782

GCD(2, 782) = 2

GCD of 460, 742, 40, 782 is 2

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1. What is the GCD of 460, 742, 40, 782?

GCD of 460, 742, 40, 782 is 2

2. Where do I get the detailed procedure to find GCD of 460, 742, 40, 782?

You can find a detailed procedure to find GCD of 460, 742, 40, 782 on our page.

3. How to find GCD of 460, 742, 40, 782 on a calculator?

You can find the GCD of 460, 742, 40, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.