GCD of 140, 874, 509, 489 Calculator

Given Input numbers are 140, 874, 509, 489

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 509

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

1, 509

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 140, 874, 509, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 874, 509, 489 is 1.

Therefore, GCD of numbers 140, 874, 509, 489 is 1

Given Input Data is 140, 874, 509, 489

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 509 is 509

Prime Factorization of 489 is 3 x 163

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(140, 874) = 61180

GCD(140, 874) = ( 140 x 874 ) / 61180

GCD(140, 874) = 122360 / 61180

GCD(140, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 140, 874, 509, 489 is 1

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1. What is the GCD of 140, 874, 509, 489?

GCD of 140, 874, 509, 489 is 1

2. Where do I get the detailed procedure to find GCD of 140, 874, 509, 489?

You can find a detailed procedure to find GCD of 140, 874, 509, 489 on our page.

3. How to find GCD of 140, 874, 509, 489 on a calculator?

You can find the GCD of 140, 874, 509, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.