GCD of 320, 397, 84, 712 Calculator

Given Input numbers are 320, 397, 84, 712

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 320, 397, 84, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 397, 84, 712 is 1.

Therefore, GCD of numbers 320, 397, 84, 712 is 1

Given Input Data is 320, 397, 84, 712

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 397 is 397

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(320, 397) = 127040

GCD(320, 397) = ( 320 x 397 ) / 127040

GCD(320, 397) = 127040 / 127040

GCD(320, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 320, 397, 84, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 667, 36, 738
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• GCD of 655, 467, 40, 787
• GCD of 620, 261, 66, 716

1. What is the GCD of 320, 397, 84, 712?

GCD of 320, 397, 84, 712 is 1

2. Where do I get the detailed procedure to find GCD of 320, 397, 84, 712?

You can find a detailed procedure to find GCD of 320, 397, 84, 712 on our page.

3. How to find GCD of 320, 397, 84, 712 on a calculator?

You can find the GCD of 320, 397, 84, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.