GCD of 674, 144, 588, 377 Calculator

Given Input numbers are 674, 144, 588, 377

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 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 674, 144, 588, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 144, 588, 377 is 1.

Therefore, GCD of numbers 674, 144, 588, 377 is 1

Given Input Data is 674, 144, 588, 377

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 377 is 13 x 29

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, 144) = 48528

GCD(674, 144) = ( 674 x 144 ) / 48528

GCD(674, 144) = 97056 / 48528

GCD(674, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

GCD of 674, 144, 588, 377 is 1

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1. What is the GCD of 674, 144, 588, 377?

GCD of 674, 144, 588, 377 is 1

2. Where do I get the detailed procedure to find GCD of 674, 144, 588, 377?

You can find a detailed procedure to find GCD of 674, 144, 588, 377 on our page.

3. How to find GCD of 674, 144, 588, 377 on a calculator?

You can find the GCD of 674, 144, 588, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.