GCD of 231, 448, 86, 149 Calculator

Given Input numbers are 231, 448, 86, 149

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 86

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

1, 2, 43, 86

Divisors of 149

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

1, 149

Greatest Common Divisior

We found the divisors of 231, 448, 86, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 448, 86, 149 is 1.

Therefore, GCD of numbers 231, 448, 86, 149 is 1

Given Input Data is 231, 448, 86, 149

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 86 is 2 x 43

Prime Factorization of 149 is 149

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(231, 448) = 14784

GCD(231, 448) = ( 231 x 448 ) / 14784

GCD(231, 448) = 103488 / 14784

GCD(231, 448) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 86

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

LCM(7, 86) = 602

GCD(7, 86) = ( 7 x 86 ) / 602

GCD(7, 86) = 602 / 602

GCD(7, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 231, 448, 86, 149 is 1

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• GCD of 108, 923, 30, 844
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1. What is the GCD of 231, 448, 86, 149?

GCD of 231, 448, 86, 149 is 1

2. Where do I get the detailed procedure to find GCD of 231, 448, 86, 149?

You can find a detailed procedure to find GCD of 231, 448, 86, 149 on our page.

3. How to find GCD of 231, 448, 86, 149 on a calculator?

You can find the GCD of 231, 448, 86, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.