GCD of 497, 431, 31, 755 Calculator

Given Input numbers are 497, 431, 31, 755

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

Divisors of 497

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

1, 7, 71, 497

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 497, 431, 31, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 431, 31, 755 is 1.

Therefore, GCD of numbers 497, 431, 31, 755 is 1

Given Input Data is 497, 431, 31, 755

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 431 is 431

Prime Factorization of 31 is 31

Prime Factorization of 755 is 5 x 151

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(497, 431) = 214207

GCD(497, 431) = ( 497 x 431 ) / 214207

GCD(497, 431) = 214207 / 214207

GCD(497, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 497, 431, 31, 755 is 1

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1. What is the GCD of 497, 431, 31, 755?

GCD of 497, 431, 31, 755 is 1

2. Where do I get the detailed procedure to find GCD of 497, 431, 31, 755?

You can find a detailed procedure to find GCD of 497, 431, 31, 755 on our page.

3. How to find GCD of 497, 431, 31, 755 on a calculator?

You can find the GCD of 497, 431, 31, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.