GCD of 460, 428, 402, 935 Calculator

Given Input numbers are 460, 428, 402, 935

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 460, 428, 402, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 428, 402, 935 is 1.

Therefore, GCD of numbers 460, 428, 402, 935 is 1

Given Input Data is 460, 428, 402, 935

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 428 is 2 x 2 x 107

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 935 is 5 x 11 x 17

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, 428) = 49220

GCD(460, 428) = ( 460 x 428 ) / 49220

GCD(460, 428) = 196880 / 49220

GCD(460, 428) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 402

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

LCM(4, 402) = 804

GCD(4, 402) = ( 4 x 402 ) / 804

GCD(4, 402) = 1608 / 804

GCD(4, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 935

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

LCM(2, 935) = 1870

GCD(2, 935) = ( 2 x 935 ) / 1870

GCD(2, 935) = 1870 / 1870

GCD(2, 935) = 1

GCD of 460, 428, 402, 935 is 1

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• GCD of 931, 271, 139, 323
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1. What is the GCD of 460, 428, 402, 935?

GCD of 460, 428, 402, 935 is 1

2. Where do I get the detailed procedure to find GCD of 460, 428, 402, 935?

You can find a detailed procedure to find GCD of 460, 428, 402, 935 on our page.

3. How to find GCD of 460, 428, 402, 935 on a calculator?

You can find the GCD of 460, 428, 402, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.