GCD of 41, 497, 268, 176 Calculator

Given Input numbers are 41, 497, 268, 176

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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

Greatest Common Divisior

We found the divisors of 41, 497, 268, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 497, 268, 176 is 1.

Therefore, GCD of numbers 41, 497, 268, 176 is 1

Given Input Data is 41, 497, 268, 176

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

Prime Factorization of 41 is 41

Prime Factorization of 497 is 7 x 71

Prime Factorization of 268 is 2 x 2 x 67

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

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(41, 497) = 20377

GCD(41, 497) = ( 41 x 497 ) / 20377

GCD(41, 497) = 20377 / 20377

GCD(41, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 41, 497, 268, 176 is 1

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1. What is the GCD of 41, 497, 268, 176?

GCD of 41, 497, 268, 176 is 1

2. Where do I get the detailed procedure to find GCD of 41, 497, 268, 176?

You can find a detailed procedure to find GCD of 41, 497, 268, 176 on our page.

3. How to find GCD of 41, 497, 268, 176 on a calculator?

You can find the GCD of 41, 497, 268, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.