GCD of 675, 310, 457 Calculator

Given Input numbers are 675, 310, 457

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 675, 310, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 310, 457 is 1.

Therefore, GCD of numbers 675, 310, 457 is 1

Given Input Data is 675, 310, 457

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 457 is 457

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(675, 310) = 41850

GCD(675, 310) = ( 675 x 310 ) / 41850

GCD(675, 310) = 209250 / 41850

GCD(675, 310) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 457

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

LCM(5, 457) = 2285

GCD(5, 457) = ( 5 x 457 ) / 2285

GCD(5, 457) = 2285 / 2285

GCD(5, 457) = 1

GCD of 675, 310, 457 is 1

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• GCD of 665, 577, 721
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• GCD of 647, 843, 308

1. What is the GCD of 675, 310, 457?

GCD of 675, 310, 457 is 1

2. Where do I get the detailed procedure to find GCD of 675, 310, 457?

You can find a detailed procedure to find GCD of 675, 310, 457 on our page.

3. How to find GCD of 675, 310, 457 on a calculator?

You can find the GCD of 675, 310, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.