GCD of 314, 747, 628, 347 Calculator

Given Input numbers are 314, 747, 628, 347

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 347

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

1, 347

Greatest Common Divisior

We found the divisors of 314, 747, 628, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 747, 628, 347 is 1.

Therefore, GCD of numbers 314, 747, 628, 347 is 1

Given Input Data is 314, 747, 628, 347

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 347 is 347

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(314, 747) = 234558

GCD(314, 747) = ( 314 x 747 ) / 234558

GCD(314, 747) = 234558 / 234558

GCD(314, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 347

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

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

GCD(1, 347) = 347 / 347

GCD(1, 347) = 1

GCD of 314, 747, 628, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 158, 778, 417
• GCD of 248, 205, 142, 224
• GCD of 727, 765, 676, 561
• GCD of 316, 310, 547, 991
• GCD of 217, 979, 819, 784

1. What is the GCD of 314, 747, 628, 347?

GCD of 314, 747, 628, 347 is 1

2. Where do I get the detailed procedure to find GCD of 314, 747, 628, 347?

You can find a detailed procedure to find GCD of 314, 747, 628, 347 on our page.

3. How to find GCD of 314, 747, 628, 347 on a calculator?

You can find the GCD of 314, 747, 628, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.