GCD of 674, 795, 30, 688 Calculator

Given Input numbers are 674, 795, 30, 688

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

Divisors of 674

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

1, 2, 337, 674

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 674, 795, 30, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 795, 30, 688 is 1.

Therefore, GCD of numbers 674, 795, 30, 688 is 1

Given Input Data is 674, 795, 30, 688

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(674, 795) = 535830

GCD(674, 795) = ( 674 x 795 ) / 535830

GCD(674, 795) = 535830 / 535830

GCD(674, 795) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 674, 795, 30, 688 is 1

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• GCD of 589, 133, 78, 149

1. What is the GCD of 674, 795, 30, 688?

GCD of 674, 795, 30, 688 is 1

2. Where do I get the detailed procedure to find GCD of 674, 795, 30, 688?

You can find a detailed procedure to find GCD of 674, 795, 30, 688 on our page.

3. How to find GCD of 674, 795, 30, 688 on a calculator?

You can find the GCD of 674, 795, 30, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.