GCD of 814, 688, 552, 310 Calculator

Given Input numbers are 814, 688, 552, 310

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 814, 688, 552, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 688, 552, 310 is 2.

Therefore, GCD of numbers 814, 688, 552, 310 is 2

Given Input Data is 814, 688, 552, 310

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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

Prime Factorization of 310 is 2 x 5 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(814, 688) = 280016

GCD(814, 688) = ( 814 x 688 ) / 280016

GCD(814, 688) = 560032 / 280016

GCD(814, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 552

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

LCM(2, 552) = 552

GCD(2, 552) = ( 2 x 552 ) / 552

GCD(2, 552) = 1104 / 552

GCD(2, 552) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

GCD of 814, 688, 552, 310 is 2

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1. What is the GCD of 814, 688, 552, 310?

GCD of 814, 688, 552, 310 is 2

2. Where do I get the detailed procedure to find GCD of 814, 688, 552, 310?

You can find a detailed procedure to find GCD of 814, 688, 552, 310 on our page.

3. How to find GCD of 814, 688, 552, 310 on a calculator?

You can find the GCD of 814, 688, 552, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.