GCD of 699, 502, 75, 313 Calculator

Given Input numbers are 699, 502, 75, 313

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 699, 502, 75, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 502, 75, 313 is 1.

Therefore, GCD of numbers 699, 502, 75, 313 is 1

Given Input Data is 699, 502, 75, 313

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 502 is 2 x 251

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 313 is 313

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(699, 502) = 350898

GCD(699, 502) = ( 699 x 502 ) / 350898

GCD(699, 502) = 350898 / 350898

GCD(699, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 699, 502, 75, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 112, 72, 639
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• GCD of 334, 549, 35, 912
• GCD of 396, 408, 58, 175
• GCD of 481, 274, 32, 955

1. What is the GCD of 699, 502, 75, 313?

GCD of 699, 502, 75, 313 is 1

2. Where do I get the detailed procedure to find GCD of 699, 502, 75, 313?

You can find a detailed procedure to find GCD of 699, 502, 75, 313 on our page.

3. How to find GCD of 699, 502, 75, 313 on a calculator?

You can find the GCD of 699, 502, 75, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.