GCD of 310, 375, 345, 712 Calculator

Given Input numbers are 310, 375, 345, 712

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

Divisors of 310

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

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 310, 375, 345, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 375, 345, 712 is 1.

Therefore, GCD of numbers 310, 375, 345, 712 is 1

Given Input Data is 310, 375, 345, 712

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(310, 375) = 23250

GCD(310, 375) = ( 310 x 375 ) / 23250

GCD(310, 375) = 116250 / 23250

GCD(310, 375) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 345

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

LCM(5, 345) = 345

GCD(5, 345) = ( 5 x 345 ) / 345

GCD(5, 345) = 1725 / 345

GCD(5, 345) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 712

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

LCM(5, 712) = 3560

GCD(5, 712) = ( 5 x 712 ) / 3560

GCD(5, 712) = 3560 / 3560

GCD(5, 712) = 1

GCD of 310, 375, 345, 712 is 1

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1. What is the GCD of 310, 375, 345, 712?

GCD of 310, 375, 345, 712 is 1

2. Where do I get the detailed procedure to find GCD of 310, 375, 345, 712?

You can find a detailed procedure to find GCD of 310, 375, 345, 712 on our page.

3. How to find GCD of 310, 375, 345, 712 on a calculator?

You can find the GCD of 310, 375, 345, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.