GCD of 817, 672, 741, 314 Calculator

Given Input numbers are 817, 672, 741, 314

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 314

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

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 817, 672, 741, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 672, 741, 314 is 1.

Therefore, GCD of numbers 817, 672, 741, 314 is 1

Given Input Data is 817, 672, 741, 314

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

Prime Factorization of 817 is 19 x 43

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 314 is 2 x 157

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(817, 672) = 549024

GCD(817, 672) = ( 817 x 672 ) / 549024

GCD(817, 672) = 549024 / 549024

GCD(817, 672) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 817, 672, 741, 314 is 1

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1. What is the GCD of 817, 672, 741, 314?

GCD of 817, 672, 741, 314 is 1

2. Where do I get the detailed procedure to find GCD of 817, 672, 741, 314?

You can find a detailed procedure to find GCD of 817, 672, 741, 314 on our page.

3. How to find GCD of 817, 672, 741, 314 on a calculator?

You can find the GCD of 817, 672, 741, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.