GCD of 232, 400, 149, 131 Calculator

Given Input numbers are 232, 400, 149, 131

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 232, 400, 149, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 400, 149, 131 is 1.

Therefore, GCD of numbers 232, 400, 149, 131 is 1

Given Input Data is 232, 400, 149, 131

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 149 is 149

Prime Factorization of 131 is 131

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(232, 400) = 11600

GCD(232, 400) = ( 232 x 400 ) / 11600

GCD(232, 400) = 92800 / 11600

GCD(232, 400) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 149

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

LCM(8, 149) = 1192

GCD(8, 149) = ( 8 x 149 ) / 1192

GCD(8, 149) = 1192 / 1192

GCD(8, 149) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 232, 400, 149, 131 is 1

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1. What is the GCD of 232, 400, 149, 131?

GCD of 232, 400, 149, 131 is 1

2. Where do I get the detailed procedure to find GCD of 232, 400, 149, 131?

You can find a detailed procedure to find GCD of 232, 400, 149, 131 on our page.

3. How to find GCD of 232, 400, 149, 131 on a calculator?

You can find the GCD of 232, 400, 149, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.