GCD of 497, 903, 132, 852 Calculator

Given Input numbers are 497, 903, 132, 852

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 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 497, 903, 132, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 903, 132, 852 is 1.

Therefore, GCD of numbers 497, 903, 132, 852 is 1

Given Input Data is 497, 903, 132, 852

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 852 is 2 x 2 x 3 x 71

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, 903) = 64113

GCD(497, 903) = ( 497 x 903 ) / 64113

GCD(497, 903) = 448791 / 64113

GCD(497, 903) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 132

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

LCM(7, 132) = 924

GCD(7, 132) = ( 7 x 132 ) / 924

GCD(7, 132) = 924 / 924

GCD(7, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 497, 903, 132, 852 is 1

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1. What is the GCD of 497, 903, 132, 852?

GCD of 497, 903, 132, 852 is 1

2. Where do I get the detailed procedure to find GCD of 497, 903, 132, 852?

You can find a detailed procedure to find GCD of 497, 903, 132, 852 on our page.

3. How to find GCD of 497, 903, 132, 852 on a calculator?

You can find the GCD of 497, 903, 132, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.