GCD of 575, 231, 10, 114 Calculator

Given Input numbers are 575, 231, 10, 114

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

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 575, 231, 10, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 575, 231, 10, 114 is 1.

Therefore, GCD of numbers 575, 231, 10, 114 is 1

Given Input Data is 575, 231, 10, 114

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 10 is 2 x 5

Prime Factorization of 114 is 2 x 3 x 19

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(575, 231) = 132825

GCD(575, 231) = ( 575 x 231 ) / 132825

GCD(575, 231) = 132825 / 132825

GCD(575, 231) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 575, 231, 10, 114 is 1

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• GCD of 672, 528, 33, 324
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• GCD of 437, 401, 59, 418

1. What is the GCD of 575, 231, 10, 114?

GCD of 575, 231, 10, 114 is 1

2. Where do I get the detailed procedure to find GCD of 575, 231, 10, 114?

You can find a detailed procedure to find GCD of 575, 231, 10, 114 on our page.

3. How to find GCD of 575, 231, 10, 114 on a calculator?

You can find the GCD of 575, 231, 10, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.