GCD of 374, 718, 41, 235 Calculator

Given Input numbers are 374, 718, 41, 235

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 41

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

1, 41

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 374, 718, 41, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 718, 41, 235 is 1.

Therefore, GCD of numbers 374, 718, 41, 235 is 1

Given Input Data is 374, 718, 41, 235

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 718 is 2 x 359

Prime Factorization of 41 is 41

Prime Factorization of 235 is 5 x 47

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(374, 718) = 134266

GCD(374, 718) = ( 374 x 718 ) / 134266

GCD(374, 718) = 268532 / 134266

GCD(374, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 374, 718, 41, 235 is 1

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1. What is the GCD of 374, 718, 41, 235?

GCD of 374, 718, 41, 235 is 1

2. Where do I get the detailed procedure to find GCD of 374, 718, 41, 235?

You can find a detailed procedure to find GCD of 374, 718, 41, 235 on our page.

3. How to find GCD of 374, 718, 41, 235 on a calculator?

You can find the GCD of 374, 718, 41, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.