GCD of 337, 984, 514, 375 Calculator

Given Input numbers are 337, 984, 514, 375

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 337, 984, 514, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 984, 514, 375 is 1.

Therefore, GCD of numbers 337, 984, 514, 375 is 1

Given Input Data is 337, 984, 514, 375

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

Prime Factorization of 337 is 337

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 514 is 2 x 257

Prime Factorization of 375 is 3 x 5 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(337, 984) = 331608

GCD(337, 984) = ( 337 x 984 ) / 331608

GCD(337, 984) = 331608 / 331608

GCD(337, 984) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 337, 984, 514, 375 is 1

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1. What is the GCD of 337, 984, 514, 375?

GCD of 337, 984, 514, 375 is 1

2. Where do I get the detailed procedure to find GCD of 337, 984, 514, 375?

You can find a detailed procedure to find GCD of 337, 984, 514, 375 on our page.

3. How to find GCD of 337, 984, 514, 375 on a calculator?

You can find the GCD of 337, 984, 514, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.