GCD of 334, 474, 689, 407 Calculator

Given Input numbers are 334, 474, 689, 407

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 334, 474, 689, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 474, 689, 407 is 1.

Therefore, GCD of numbers 334, 474, 689, 407 is 1

Given Input Data is 334, 474, 689, 407

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 689 is 13 x 53

Prime Factorization of 407 is 11 x 37

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(334, 474) = 79158

GCD(334, 474) = ( 334 x 474 ) / 79158

GCD(334, 474) = 158316 / 79158

GCD(334, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

GCD of 334, 474, 689, 407 is 1

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1. What is the GCD of 334, 474, 689, 407?

GCD of 334, 474, 689, 407 is 1

2. Where do I get the detailed procedure to find GCD of 334, 474, 689, 407?

You can find a detailed procedure to find GCD of 334, 474, 689, 407 on our page.

3. How to find GCD of 334, 474, 689, 407 on a calculator?

You can find the GCD of 334, 474, 689, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.