GCD of 659, 514, 40, 131 Calculator

Given Input numbers are 659, 514, 40, 131

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 514

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

1, 2, 257, 514

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 659, 514, 40, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 514, 40, 131 is 1.

Therefore, GCD of numbers 659, 514, 40, 131 is 1

Given Input Data is 659, 514, 40, 131

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

Prime Factorization of 659 is 659

Prime Factorization of 514 is 2 x 257

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 131 is 131

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(659, 514) = 338726

GCD(659, 514) = ( 659 x 514 ) / 338726

GCD(659, 514) = 338726 / 338726

GCD(659, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 659, 514, 40, 131 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 478, 75, 375
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• GCD of 372, 249, 13, 938
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• GCD of 997, 648, 62, 364

1. What is the GCD of 659, 514, 40, 131?

GCD of 659, 514, 40, 131 is 1

2. Where do I get the detailed procedure to find GCD of 659, 514, 40, 131?

You can find a detailed procedure to find GCD of 659, 514, 40, 131 on our page.

3. How to find GCD of 659, 514, 40, 131 on a calculator?

You can find the GCD of 659, 514, 40, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.