GCD of 674, 394, 707, 512 Calculator

Given Input numbers are 674, 394, 707, 512

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 674, 394, 707, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 394, 707, 512 is 1.

Therefore, GCD of numbers 674, 394, 707, 512 is 1

Given Input Data is 674, 394, 707, 512

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 394 is 2 x 197

Prime Factorization of 707 is 7 x 101

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 394) = 132778

GCD(674, 394) = ( 674 x 394 ) / 132778

GCD(674, 394) = 265556 / 132778

GCD(674, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 674, 394, 707, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 346, 240, 599
• GCD of 122, 493, 591, 477
• GCD of 616, 833, 985, 684
• GCD of 769, 726, 302, 701
• GCD of 346, 579, 686, 254

1. What is the GCD of 674, 394, 707, 512?

GCD of 674, 394, 707, 512 is 1

2. Where do I get the detailed procedure to find GCD of 674, 394, 707, 512?

You can find a detailed procedure to find GCD of 674, 394, 707, 512 on our page.

3. How to find GCD of 674, 394, 707, 512 on a calculator?

You can find the GCD of 674, 394, 707, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.