GCD of 314, 672, 23, 610 Calculator

Given Input numbers are 314, 672, 23, 610

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 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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Greatest Common Divisior

We found the divisors of 314, 672, 23, 610 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 672, 23, 610 is 1.

Therefore, GCD of numbers 314, 672, 23, 610 is 1

Given Input Data is 314, 672, 23, 610

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

Prime Factorization of 314 is 2 x 157

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

Prime Factorization of 23 is 23

Prime Factorization of 610 is 2 x 5 x 61

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, 672) = 105504

GCD(314, 672) = ( 314 x 672 ) / 105504

GCD(314, 672) = 211008 / 105504

GCD(314, 672) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 610

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

LCM(1, 610) = 610

GCD(1, 610) = ( 1 x 610 ) / 610

GCD(1, 610) = 610 / 610

GCD(1, 610) = 1

GCD of 314, 672, 23, 610 is 1

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1. What is the GCD of 314, 672, 23, 610?

GCD of 314, 672, 23, 610 is 1

2. Where do I get the detailed procedure to find GCD of 314, 672, 23, 610?

You can find a detailed procedure to find GCD of 314, 672, 23, 610 on our page.

3. How to find GCD of 314, 672, 23, 610 on a calculator?

You can find the GCD of 314, 672, 23, 610 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.