GCD of 502, 996, 465, 402 Calculator

Given Input numbers are 502, 996, 465, 402

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

Divisors of 502

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

1, 2, 251, 502

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 402

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

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

Greatest Common Divisior

We found the divisors of 502, 996, 465, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 996, 465, 402 is 1.

Therefore, GCD of numbers 502, 996, 465, 402 is 1

Given Input Data is 502, 996, 465, 402

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 402 is 2 x 3 x 67

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(502, 996) = 249996

GCD(502, 996) = ( 502 x 996 ) / 249996

GCD(502, 996) = 499992 / 249996

GCD(502, 996) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 502, 996, 465, 402 is 1

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1. What is the GCD of 502, 996, 465, 402?

GCD of 502, 996, 465, 402 is 1

2. Where do I get the detailed procedure to find GCD of 502, 996, 465, 402?

You can find a detailed procedure to find GCD of 502, 996, 465, 402 on our page.

3. How to find GCD of 502, 996, 465, 402 on a calculator?

You can find the GCD of 502, 996, 465, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.