GCD of 350, 509, 307, 874 Calculator

Given Input numbers are 350, 509, 307, 874

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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

Greatest Common Divisior

We found the divisors of 350, 509, 307, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 509, 307, 874 is 1.

Therefore, GCD of numbers 350, 509, 307, 874 is 1

Given Input Data is 350, 509, 307, 874

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 509 is 509

Prime Factorization of 307 is 307

Prime Factorization of 874 is 2 x 19 x 23

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(350, 509) = 178150

GCD(350, 509) = ( 350 x 509 ) / 178150

GCD(350, 509) = 178150 / 178150

GCD(350, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 874

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

LCM(1, 874) = 874

GCD(1, 874) = ( 1 x 874 ) / 874

GCD(1, 874) = 874 / 874

GCD(1, 874) = 1

GCD of 350, 509, 307, 874 is 1

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• GCD of 368, 753, 990, 862
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1. What is the GCD of 350, 509, 307, 874?

GCD of 350, 509, 307, 874 is 1

2. Where do I get the detailed procedure to find GCD of 350, 509, 307, 874?

You can find a detailed procedure to find GCD of 350, 509, 307, 874 on our page.

3. How to find GCD of 350, 509, 307, 874 on a calculator?

You can find the GCD of 350, 509, 307, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.