GCD of 139, 575, 498, 689 Calculator

Given Input numbers are 139, 575, 498, 689

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

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 139, 575, 498, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 139, 575, 498, 689 is 1.

Therefore, GCD of numbers 139, 575, 498, 689 is 1

Given Input Data is 139, 575, 498, 689

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

Prime Factorization of 139 is 139

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 689 is 13 x 53

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(139, 575) = 79925

GCD(139, 575) = ( 139 x 575 ) / 79925

GCD(139, 575) = 79925 / 79925

GCD(139, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 139, 575, 498, 689 is 1

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1. What is the GCD of 139, 575, 498, 689?

GCD of 139, 575, 498, 689 is 1

2. Where do I get the detailed procedure to find GCD of 139, 575, 498, 689?

You can find a detailed procedure to find GCD of 139, 575, 498, 689 on our page.

3. How to find GCD of 139, 575, 498, 689 on a calculator?

You can find the GCD of 139, 575, 498, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.