GCD of 140, 697, 597, 509 Calculator

Given Input numbers are 140, 697, 597, 509

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 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 509

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

1, 509

Greatest Common Divisior

We found the divisors of 140, 697, 597, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 697, 597, 509 is 1.

Therefore, GCD of numbers 140, 697, 597, 509 is 1

Given Input Data is 140, 697, 597, 509

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 697 is 17 x 41

Prime Factorization of 597 is 3 x 199

Prime Factorization of 509 is 509

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, 697) = 97580

GCD(140, 697) = ( 140 x 697 ) / 97580

GCD(140, 697) = 97580 / 97580

GCD(140, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 140, 697, 597, 509 is 1

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1. What is the GCD of 140, 697, 597, 509?

GCD of 140, 697, 597, 509 is 1

2. Where do I get the detailed procedure to find GCD of 140, 697, 597, 509?

You can find a detailed procedure to find GCD of 140, 697, 597, 509 on our page.

3. How to find GCD of 140, 697, 597, 509 on a calculator?

You can find the GCD of 140, 697, 597, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.