GCD of 40, 614, 597, 565 Calculator

Given Input numbers are 40, 614, 597, 565

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

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 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 597

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

1, 3, 199, 597

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 40, 614, 597, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 614, 597, 565 is 1.

Therefore, GCD of numbers 40, 614, 597, 565 is 1

Given Input Data is 40, 614, 597, 565

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

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 597 is 3 x 199

Prime Factorization of 565 is 5 x 113

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(40, 614) = 12280

GCD(40, 614) = ( 40 x 614 ) / 12280

GCD(40, 614) = 24560 / 12280

GCD(40, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 597

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

LCM(2, 597) = 1194

GCD(2, 597) = ( 2 x 597 ) / 1194

GCD(2, 597) = 1194 / 1194

GCD(2, 597) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 40, 614, 597, 565 is 1

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• GCD of 87, 498, 433, 815
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1. What is the GCD of 40, 614, 597, 565?

GCD of 40, 614, 597, 565 is 1

2. Where do I get the detailed procedure to find GCD of 40, 614, 597, 565?

You can find a detailed procedure to find GCD of 40, 614, 597, 565 on our page.

3. How to find GCD of 40, 614, 597, 565 on a calculator?

You can find the GCD of 40, 614, 597, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.