GCD of 614, 325, 452, 674 Calculator

Given Input numbers are 614, 325, 452, 674

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 674

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

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 614, 325, 452, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 325, 452, 674 is 1.

Therefore, GCD of numbers 614, 325, 452, 674 is 1

Given Input Data is 614, 325, 452, 674

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 674 is 2 x 337

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(614, 325) = 199550

GCD(614, 325) = ( 614 x 325 ) / 199550

GCD(614, 325) = 199550 / 199550

GCD(614, 325) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 614, 325, 452, 674 is 1

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1. What is the GCD of 614, 325, 452, 674?

GCD of 614, 325, 452, 674 is 1

2. Where do I get the detailed procedure to find GCD of 614, 325, 452, 674?

You can find a detailed procedure to find GCD of 614, 325, 452, 674 on our page.

3. How to find GCD of 614, 325, 452, 674 on a calculator?

You can find the GCD of 614, 325, 452, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.