GCD of 310, 674, 485, 617 Calculator

Given Input numbers are 310, 674, 485, 617

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

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 310, 674, 485, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 674, 485, 617 is 1.

Therefore, GCD of numbers 310, 674, 485, 617 is 1

Given Input Data is 310, 674, 485, 617

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 674 is 2 x 337

Prime Factorization of 485 is 5 x 97

Prime Factorization of 617 is 617

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(310, 674) = 104470

GCD(310, 674) = ( 310 x 674 ) / 104470

GCD(310, 674) = 208940 / 104470

GCD(310, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 485

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

LCM(2, 485) = 970

GCD(2, 485) = ( 2 x 485 ) / 970

GCD(2, 485) = 970 / 970

GCD(2, 485) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 617

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

LCM(1, 617) = 617

GCD(1, 617) = ( 1 x 617 ) / 617

GCD(1, 617) = 617 / 617

GCD(1, 617) = 1

GCD of 310, 674, 485, 617 is 1

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1. What is the GCD of 310, 674, 485, 617?

GCD of 310, 674, 485, 617 is 1

2. Where do I get the detailed procedure to find GCD of 310, 674, 485, 617?

You can find a detailed procedure to find GCD of 310, 674, 485, 617 on our page.

3. How to find GCD of 310, 674, 485, 617 on a calculator?

You can find the GCD of 310, 674, 485, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.