GCD of 334, 687, 85, 103 Calculator

Given Input numbers are 334, 687, 85, 103

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 334, 687, 85, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 687, 85, 103 is 1.

Therefore, GCD of numbers 334, 687, 85, 103 is 1

Given Input Data is 334, 687, 85, 103

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 687 is 3 x 229

Prime Factorization of 85 is 5 x 17

Prime Factorization of 103 is 103

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, 687) = 229458

GCD(334, 687) = ( 334 x 687 ) / 229458

GCD(334, 687) = 229458 / 229458

GCD(334, 687) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 334, 687, 85, 103 is 1

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1. What is the GCD of 334, 687, 85, 103?

GCD of 334, 687, 85, 103 is 1

2. Where do I get the detailed procedure to find GCD of 334, 687, 85, 103?

You can find a detailed procedure to find GCD of 334, 687, 85, 103 on our page.

3. How to find GCD of 334, 687, 85, 103 on a calculator?

You can find the GCD of 334, 687, 85, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.