GCD of 672, 318, 275, 724 Calculator

Given Input numbers are 672, 318, 275, 724

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

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 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 672, 318, 275, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 318, 275, 724 is 1.

Therefore, GCD of numbers 672, 318, 275, 724 is 1

Given Input Data is 672, 318, 275, 724

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

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 724 is 2 x 2 x 181

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(672, 318) = 35616

GCD(672, 318) = ( 672 x 318 ) / 35616

GCD(672, 318) = 213696 / 35616

GCD(672, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 275

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

LCM(6, 275) = 1650

GCD(6, 275) = ( 6 x 275 ) / 1650

GCD(6, 275) = 1650 / 1650

GCD(6, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 672, 318, 275, 724 is 1

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1. What is the GCD of 672, 318, 275, 724?

GCD of 672, 318, 275, 724 is 1

2. Where do I get the detailed procedure to find GCD of 672, 318, 275, 724?

You can find a detailed procedure to find GCD of 672, 318, 275, 724 on our page.

3. How to find GCD of 672, 318, 275, 724 on a calculator?

You can find the GCD of 672, 318, 275, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.