GCD of 407, 368, 88, 320 Calculator

Given Input numbers are 407, 368, 88, 320

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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

Greatest Common Divisior

We found the divisors of 407, 368, 88, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 368, 88, 320 is 1.

Therefore, GCD of numbers 407, 368, 88, 320 is 1

Given Input Data is 407, 368, 88, 320

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 88 is 2 x 2 x 2 x 11

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

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(407, 368) = 149776

GCD(407, 368) = ( 407 x 368 ) / 149776

GCD(407, 368) = 149776 / 149776

GCD(407, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 407, 368, 88, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 433, 19, 689
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• GCD of 172, 443, 86, 360

1. What is the GCD of 407, 368, 88, 320?

GCD of 407, 368, 88, 320 is 1

2. Where do I get the detailed procedure to find GCD of 407, 368, 88, 320?

You can find a detailed procedure to find GCD of 407, 368, 88, 320 on our page.

3. How to find GCD of 407, 368, 88, 320 on a calculator?

You can find the GCD of 407, 368, 88, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.