GCD of 714, 199, 524, 565 Calculator

Given Input numbers are 714, 199, 524, 565

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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 714, 199, 524, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 199, 524, 565 is 1.

Therefore, GCD of numbers 714, 199, 524, 565 is 1

Given Input Data is 714, 199, 524, 565

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 199 is 199

Prime Factorization of 524 is 2 x 2 x 131

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(714, 199) = 142086

GCD(714, 199) = ( 714 x 199 ) / 142086

GCD(714, 199) = 142086 / 142086

GCD(714, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 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 714, 199, 524, 565 is 1

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• GCD of 865, 252, 570, 903
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• GCD of 599, 412, 285, 849

1. What is the GCD of 714, 199, 524, 565?

GCD of 714, 199, 524, 565 is 1

2. Where do I get the detailed procedure to find GCD of 714, 199, 524, 565?

You can find a detailed procedure to find GCD of 714, 199, 524, 565 on our page.

3. How to find GCD of 714, 199, 524, 565 on a calculator?

You can find the GCD of 714, 199, 524, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.