GCD of 402, 472, 497, 975 Calculator

Given Input numbers are 402, 472, 497, 975

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

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 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 402, 472, 497, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 472, 497, 975 is 1.

Therefore, GCD of numbers 402, 472, 497, 975 is 1

Given Input Data is 402, 472, 497, 975

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 497 is 7 x 71

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(402, 472) = 94872

GCD(402, 472) = ( 402 x 472 ) / 94872

GCD(402, 472) = 189744 / 94872

GCD(402, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 497

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

LCM(2, 497) = 994

GCD(2, 497) = ( 2 x 497 ) / 994

GCD(2, 497) = 994 / 994

GCD(2, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 402, 472, 497, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 485, 856, 965
• GCD of 344, 449, 964, 522
• GCD of 248, 983, 667, 809
• GCD of 979, 257, 966, 262
• GCD of 705, 335, 234, 624

1. What is the GCD of 402, 472, 497, 975?

GCD of 402, 472, 497, 975 is 1

2. Where do I get the detailed procedure to find GCD of 402, 472, 497, 975?

You can find a detailed procedure to find GCD of 402, 472, 497, 975 on our page.

3. How to find GCD of 402, 472, 497, 975 on a calculator?

You can find the GCD of 402, 472, 497, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.