GCD of 311, 762, 667, 400 Calculator

Given Input numbers are 311, 762, 667, 400

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 311, 762, 667, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 762, 667, 400 is 1.

Therefore, GCD of numbers 311, 762, 667, 400 is 1

Given Input Data is 311, 762, 667, 400

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

Prime Factorization of 311 is 311

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 667 is 23 x 29

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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, 762) = 236982

GCD(311, 762) = ( 311 x 762 ) / 236982

GCD(311, 762) = 236982 / 236982

GCD(311, 762) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 311, 762, 667, 400 is 1

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1. What is the GCD of 311, 762, 667, 400?

GCD of 311, 762, 667, 400 is 1

2. Where do I get the detailed procedure to find GCD of 311, 762, 667, 400?

You can find a detailed procedure to find GCD of 311, 762, 667, 400 on our page.

3. How to find GCD of 311, 762, 667, 400 on a calculator?

You can find the GCD of 311, 762, 667, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.