GCD of 40, 311, 238, 670 Calculator

Given Input numbers are 40, 311, 238, 670

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 311

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

1, 311

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 40, 311, 238, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 311, 238, 670 is 1.

Therefore, GCD of numbers 40, 311, 238, 670 is 1

Given Input Data is 40, 311, 238, 670

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 311 is 311

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 670 is 2 x 5 x 67

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(40, 311) = 12440

GCD(40, 311) = ( 40 x 311 ) / 12440

GCD(40, 311) = 12440 / 12440

GCD(40, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 40, 311, 238, 670 is 1

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1. What is the GCD of 40, 311, 238, 670?

GCD of 40, 311, 238, 670 is 1

2. Where do I get the detailed procedure to find GCD of 40, 311, 238, 670?

You can find a detailed procedure to find GCD of 40, 311, 238, 670 on our page.

3. How to find GCD of 40, 311, 238, 670 on a calculator?

You can find the GCD of 40, 311, 238, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.