GCD of 253, 413, 89, 146 Calculator

Given Input numbers are 253, 413, 89, 146

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 253, 413, 89, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 413, 89, 146 is 1.

Therefore, GCD of numbers 253, 413, 89, 146 is 1

Given Input Data is 253, 413, 89, 146

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 413 is 7 x 59

Prime Factorization of 89 is 89

Prime Factorization of 146 is 2 x 73

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(253, 413) = 104489

GCD(253, 413) = ( 253 x 413 ) / 104489

GCD(253, 413) = 104489 / 104489

GCD(253, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 253, 413, 89, 146 is 1

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• GCD of 709, 163, 74, 270
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• GCD of 448, 179, 38, 145

1. What is the GCD of 253, 413, 89, 146?

GCD of 253, 413, 89, 146 is 1

2. Where do I get the detailed procedure to find GCD of 253, 413, 89, 146?

You can find a detailed procedure to find GCD of 253, 413, 89, 146 on our page.

3. How to find GCD of 253, 413, 89, 146 on a calculator?

You can find the GCD of 253, 413, 89, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.