GCD of 736, 508, 851, 310 Calculator

Given Input numbers are 736, 508, 851, 310

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 736, 508, 851, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 508, 851, 310 is 1.

Therefore, GCD of numbers 736, 508, 851, 310 is 1

Given Input Data is 736, 508, 851, 310

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 851 is 23 x 37

Prime Factorization of 310 is 2 x 5 x 31

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(736, 508) = 93472

GCD(736, 508) = ( 736 x 508 ) / 93472

GCD(736, 508) = 373888 / 93472

GCD(736, 508) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 851

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

LCM(4, 851) = 3404

GCD(4, 851) = ( 4 x 851 ) / 3404

GCD(4, 851) = 3404 / 3404

GCD(4, 851) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 310

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

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

GCD(1, 310) = 310 / 310

GCD(1, 310) = 1

GCD of 736, 508, 851, 310 is 1

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1. What is the GCD of 736, 508, 851, 310?

GCD of 736, 508, 851, 310 is 1

2. Where do I get the detailed procedure to find GCD of 736, 508, 851, 310?

You can find a detailed procedure to find GCD of 736, 508, 851, 310 on our page.

3. How to find GCD of 736, 508, 851, 310 on a calculator?

You can find the GCD of 736, 508, 851, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.