GCD of 132, 276, 86, 431 Calculator

Given Input numbers are 132, 276, 86, 431

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

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 431

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

1, 431

Greatest Common Divisior

We found the divisors of 132, 276, 86, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 276, 86, 431 is 1.

Therefore, GCD of numbers 132, 276, 86, 431 is 1

Given Input Data is 132, 276, 86, 431

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

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 86 is 2 x 43

Prime Factorization of 431 is 431

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(132, 276) = 3036

GCD(132, 276) = ( 132 x 276 ) / 3036

GCD(132, 276) = 36432 / 3036

GCD(132, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 86

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

LCM(12, 86) = 516

GCD(12, 86) = ( 12 x 86 ) / 516

GCD(12, 86) = 1032 / 516

GCD(12, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 431

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

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

GCD(2, 431) = 862 / 862

GCD(2, 431) = 1

GCD of 132, 276, 86, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 973, 41, 127
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• GCD of 366, 496, 73, 160
• GCD of 222, 590, 72, 460
• GCD of 862, 551, 86, 259

1. What is the GCD of 132, 276, 86, 431?

GCD of 132, 276, 86, 431 is 1

2. Where do I get the detailed procedure to find GCD of 132, 276, 86, 431?

You can find a detailed procedure to find GCD of 132, 276, 86, 431 on our page.

3. How to find GCD of 132, 276, 86, 431 on a calculator?

You can find the GCD of 132, 276, 86, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.