GCD of 514, 283, 188, 145 Calculator

Given Input numbers are 514, 283, 188, 145

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

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 514, 283, 188, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 283, 188, 145 is 1.

Therefore, GCD of numbers 514, 283, 188, 145 is 1

Given Input Data is 514, 283, 188, 145

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 283 is 283

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 145 is 5 x 29

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(514, 283) = 145462

GCD(514, 283) = ( 514 x 283 ) / 145462

GCD(514, 283) = 145462 / 145462

GCD(514, 283) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 514, 283, 188, 145 is 1

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• GCD of 666, 478, 404, 754
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1. What is the GCD of 514, 283, 188, 145?

GCD of 514, 283, 188, 145 is 1

2. Where do I get the detailed procedure to find GCD of 514, 283, 188, 145?

You can find a detailed procedure to find GCD of 514, 283, 188, 145 on our page.

3. How to find GCD of 514, 283, 188, 145 on a calculator?

You can find the GCD of 514, 283, 188, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.