GCD of 311, 775, 41, 142 Calculator

Given Input numbers are 311, 775, 41, 142

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

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 41

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

1, 41

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 311, 775, 41, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 775, 41, 142 is 1.

Therefore, GCD of numbers 311, 775, 41, 142 is 1

Given Input Data is 311, 775, 41, 142

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

Prime Factorization of 311 is 311

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 41 is 41

Prime Factorization of 142 is 2 x 71

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(311, 775) = 241025

GCD(311, 775) = ( 311 x 775 ) / 241025

GCD(311, 775) = 241025 / 241025

GCD(311, 775) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 311, 775, 41, 142 is 1

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1. What is the GCD of 311, 775, 41, 142?

GCD of 311, 775, 41, 142 is 1

2. Where do I get the detailed procedure to find GCD of 311, 775, 41, 142?

You can find a detailed procedure to find GCD of 311, 775, 41, 142 on our page.

3. How to find GCD of 311, 775, 41, 142 on a calculator?

You can find the GCD of 311, 775, 41, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.