GCD of 35, 935, 502, 462 Calculator

Given Input numbers are 35, 935, 502, 462

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 935

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

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 35, 935, 502, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 935, 502, 462 is 1.

Therefore, GCD of numbers 35, 935, 502, 462 is 1

Given Input Data is 35, 935, 502, 462

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 502 is 2 x 251

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(35, 935) = 6545

GCD(35, 935) = ( 35 x 935 ) / 6545

GCD(35, 935) = 32725 / 6545

GCD(35, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 502

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

LCM(5, 502) = 2510

GCD(5, 502) = ( 5 x 502 ) / 2510

GCD(5, 502) = 2510 / 2510

GCD(5, 502) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 35, 935, 502, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 774, 368, 766
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• GCD of 36, 534, 873, 582
• GCD of 16, 134, 458, 495

1. What is the GCD of 35, 935, 502, 462?

GCD of 35, 935, 502, 462 is 1

2. Where do I get the detailed procedure to find GCD of 35, 935, 502, 462?

You can find a detailed procedure to find GCD of 35, 935, 502, 462 on our page.

3. How to find GCD of 35, 935, 502, 462 on a calculator?

You can find the GCD of 35, 935, 502, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.