GCD of 10, 164, 685, 334 Calculator

Given Input numbers are 10, 164, 685, 334

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 334

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

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 10, 164, 685, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 164, 685, 334 is 1.

Therefore, GCD of numbers 10, 164, 685, 334 is 1

Given Input Data is 10, 164, 685, 334

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 685 is 5 x 137

Prime Factorization of 334 is 2 x 167

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(10, 164) = 820

GCD(10, 164) = ( 10 x 164 ) / 820

GCD(10, 164) = 1640 / 820

GCD(10, 164) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 685

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

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

GCD(2, 685) = 1370 / 1370

GCD(2, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 10, 164, 685, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 286, 466, 235
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• GCD of 79, 666, 115, 389
• GCD of 32, 765, 246, 832

1. What is the GCD of 10, 164, 685, 334?

GCD of 10, 164, 685, 334 is 1

2. Where do I get the detailed procedure to find GCD of 10, 164, 685, 334?

You can find a detailed procedure to find GCD of 10, 164, 685, 334 on our page.

3. How to find GCD of 10, 164, 685, 334 on a calculator?

You can find the GCD of 10, 164, 685, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.