GCD of 608, 674, 319, 753 Calculator

Given Input numbers are 608, 674, 319, 753

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 674

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

1, 2, 337, 674

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 608, 674, 319, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 674, 319, 753 is 1.

Therefore, GCD of numbers 608, 674, 319, 753 is 1

Given Input Data is 608, 674, 319, 753

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 674 is 2 x 337

Prime Factorization of 319 is 11 x 29

Prime Factorization of 753 is 3 x 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(608, 674) = 204896

GCD(608, 674) = ( 608 x 674 ) / 204896

GCD(608, 674) = 409792 / 204896

GCD(608, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 608, 674, 319, 753 is 1

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1. What is the GCD of 608, 674, 319, 753?

GCD of 608, 674, 319, 753 is 1

2. Where do I get the detailed procedure to find GCD of 608, 674, 319, 753?

You can find a detailed procedure to find GCD of 608, 674, 319, 753 on our page.

3. How to find GCD of 608, 674, 319, 753 on a calculator?

You can find the GCD of 608, 674, 319, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.