GCD of 307, 874, 714, 994 Calculator

Given Input numbers are 307, 874, 714, 994

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Greatest Common Divisior

We found the divisors of 307, 874, 714, 994 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 874, 714, 994 is 1.

Therefore, GCD of numbers 307, 874, 714, 994 is 1

Given Input Data is 307, 874, 714, 994

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

Prime Factorization of 307 is 307

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 994 is 2 x 7 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(307, 874) = 268318

GCD(307, 874) = ( 307 x 874 ) / 268318

GCD(307, 874) = 268318 / 268318

GCD(307, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 1

GCD of 307, 874, 714, 994 is 1

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1. What is the GCD of 307, 874, 714, 994?

GCD of 307, 874, 714, 994 is 1

2. Where do I get the detailed procedure to find GCD of 307, 874, 714, 994?

You can find a detailed procedure to find GCD of 307, 874, 714, 994 on our page.

3. How to find GCD of 307, 874, 714, 994 on a calculator?

You can find the GCD of 307, 874, 714, 994 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.