GCD of 460, 478, 56, 635 Calculator

Given Input numbers are 460, 478, 56, 635

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 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 460, 478, 56, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 478, 56, 635 is 1.

Therefore, GCD of numbers 460, 478, 56, 635 is 1

Given Input Data is 460, 478, 56, 635

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 478 is 2 x 239

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 635 is 5 x 127

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(460, 478) = 109940

GCD(460, 478) = ( 460 x 478 ) / 109940

GCD(460, 478) = 219880 / 109940

GCD(460, 478) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 635

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

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

GCD(2, 635) = 1270 / 1270

GCD(2, 635) = 1

GCD of 460, 478, 56, 635 is 1

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• GCD of 850, 106, 68, 642
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• GCD of 671, 416, 47, 432

1. What is the GCD of 460, 478, 56, 635?

GCD of 460, 478, 56, 635 is 1

2. Where do I get the detailed procedure to find GCD of 460, 478, 56, 635?

You can find a detailed procedure to find GCD of 460, 478, 56, 635 on our page.

3. How to find GCD of 460, 478, 56, 635 on a calculator?

You can find the GCD of 460, 478, 56, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.