GCD of 176, 341, 14, 610 Calculator

Given Input numbers are 176, 341, 14, 610

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 176, 341, 14, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 341, 14, 610 is 1.

Therefore, GCD of numbers 176, 341, 14, 610 is 1

Given Input Data is 176, 341, 14, 610

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 341 is 11 x 31

Prime Factorization of 14 is 2 x 7

Prime Factorization of 610 is 2 x 5 x 61

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(176, 341) = 5456

GCD(176, 341) = ( 176 x 341 ) / 5456

GCD(176, 341) = 60016 / 5456

GCD(176, 341) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 14

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

LCM(11, 14) = 154

GCD(11, 14) = ( 11 x 14 ) / 154

GCD(11, 14) = 154 / 154

GCD(11, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 176, 341, 14, 610 is 1

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1. What is the GCD of 176, 341, 14, 610?

GCD of 176, 341, 14, 610 is 1

2. Where do I get the detailed procedure to find GCD of 176, 341, 14, 610?

You can find a detailed procedure to find GCD of 176, 341, 14, 610 on our page.

3. How to find GCD of 176, 341, 14, 610 on a calculator?

You can find the GCD of 176, 341, 14, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.