GCD of 307, 329, 987, 438 Calculator

Given Input numbers are 307, 329, 987, 438

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 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 307, 329, 987, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 329, 987, 438 is 1.

Therefore, GCD of numbers 307, 329, 987, 438 is 1

Given Input Data is 307, 329, 987, 438

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

Prime Factorization of 307 is 307

Prime Factorization of 329 is 7 x 47

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 438 is 2 x 3 x 73

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, 329) = 101003

GCD(307, 329) = ( 307 x 329 ) / 101003

GCD(307, 329) = 101003 / 101003

GCD(307, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 307, 329, 987, 438 is 1

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1. What is the GCD of 307, 329, 987, 438?

GCD of 307, 329, 987, 438 is 1

2. Where do I get the detailed procedure to find GCD of 307, 329, 987, 438?

You can find a detailed procedure to find GCD of 307, 329, 987, 438 on our page.

3. How to find GCD of 307, 329, 987, 438 on a calculator?

You can find the GCD of 307, 329, 987, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.