GCD of 431, 132, 269, 548 Calculator

Given Input numbers are 431, 132, 269, 548

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

Divisors of 431

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

1, 431

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 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 431, 132, 269, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 132, 269, 548 is 1.

Therefore, GCD of numbers 431, 132, 269, 548 is 1

Given Input Data is 431, 132, 269, 548

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

Prime Factorization of 431 is 431

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

Prime Factorization of 269 is 269

Prime Factorization of 548 is 2 x 2 x 137

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(431, 132) = 56892

GCD(431, 132) = ( 431 x 132 ) / 56892

GCD(431, 132) = 56892 / 56892

GCD(431, 132) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 431, 132, 269, 548 is 1

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1. What is the GCD of 431, 132, 269, 548?

GCD of 431, 132, 269, 548 is 1

2. Where do I get the detailed procedure to find GCD of 431, 132, 269, 548?

You can find a detailed procedure to find GCD of 431, 132, 269, 548 on our page.

3. How to find GCD of 431, 132, 269, 548 on a calculator?

You can find the GCD of 431, 132, 269, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.