GCD of 345, 547, 500, 251 Calculator

Given Input numbers are 345, 547, 500, 251

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 345, 547, 500, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 547, 500, 251 is 1.

Therefore, GCD of numbers 345, 547, 500, 251 is 1

Given Input Data is 345, 547, 500, 251

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 547 is 547

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 251 is 251

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(345, 547) = 188715

GCD(345, 547) = ( 345 x 547 ) / 188715

GCD(345, 547) = 188715 / 188715

GCD(345, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 345, 547, 500, 251 is 1

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• GCD of 175, 940, 569, 697
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1. What is the GCD of 345, 547, 500, 251?

GCD of 345, 547, 500, 251 is 1

2. Where do I get the detailed procedure to find GCD of 345, 547, 500, 251?

You can find a detailed procedure to find GCD of 345, 547, 500, 251 on our page.

3. How to find GCD of 345, 547, 500, 251 on a calculator?

You can find the GCD of 345, 547, 500, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.