GCD of 314, 869, 967 Calculator

Given Input numbers are 314, 869, 967

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 314, 869, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 869, 967 is 1.

Therefore, GCD of numbers 314, 869, 967 is 1

Given Input Data is 314, 869, 967

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 869 is 11 x 79

Prime Factorization of 967 is 967

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(314, 869) = 272866

GCD(314, 869) = ( 314 x 869 ) / 272866

GCD(314, 869) = 272866 / 272866

GCD(314, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 314, 869, 967 is 1

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1. What is the GCD of 314, 869, 967?

GCD of 314, 869, 967 is 1

2. Where do I get the detailed procedure to find GCD of 314, 869, 967?

You can find a detailed procedure to find GCD of 314, 869, 967 on our page.

3. How to find GCD of 314, 869, 967 on a calculator?

You can find the GCD of 314, 869, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.