GCD of 313, 552, 69, 799 Calculator

Given Input numbers are 313, 552, 69, 799

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

Divisors of 313

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

1, 313

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 313, 552, 69, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 552, 69, 799 is 1.

Therefore, GCD of numbers 313, 552, 69, 799 is 1

Given Input Data is 313, 552, 69, 799

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

Prime Factorization of 313 is 313

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 69 is 3 x 23

Prime Factorization of 799 is 17 x 47

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(313, 552) = 172776

GCD(313, 552) = ( 313 x 552 ) / 172776

GCD(313, 552) = 172776 / 172776

GCD(313, 552) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 313, 552, 69, 799 is 1

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1. What is the GCD of 313, 552, 69, 799?

GCD of 313, 552, 69, 799 is 1

2. Where do I get the detailed procedure to find GCD of 313, 552, 69, 799?

You can find a detailed procedure to find GCD of 313, 552, 69, 799 on our page.

3. How to find GCD of 313, 552, 69, 799 on a calculator?

You can find the GCD of 313, 552, 69, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.