GCD of 347, 502, 312, 902 Calculator

Given Input numbers are 347, 502, 312, 902

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

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 502

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

1, 2, 251, 502

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 347, 502, 312, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 347, 502, 312, 902 is 1.

Therefore, GCD of numbers 347, 502, 312, 902 is 1

Given Input Data is 347, 502, 312, 902

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

Prime Factorization of 347 is 347

Prime Factorization of 502 is 2 x 251

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 902 is 2 x 11 x 41

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(347, 502) = 174194

GCD(347, 502) = ( 347 x 502 ) / 174194

GCD(347, 502) = 174194 / 174194

GCD(347, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 347, 502, 312, 902 is 1

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1. What is the GCD of 347, 502, 312, 902?

GCD of 347, 502, 312, 902 is 1

2. Where do I get the detailed procedure to find GCD of 347, 502, 312, 902?

You can find a detailed procedure to find GCD of 347, 502, 312, 902 on our page.

3. How to find GCD of 347, 502, 312, 902 on a calculator?

You can find the GCD of 347, 502, 312, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.