GCD of 323, 320, 88, 148 Calculator

Given Input numbers are 323, 320, 88, 148

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

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

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 88

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

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 323, 320, 88, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 320, 88, 148 is 1.

Therefore, GCD of numbers 323, 320, 88, 148 is 1

Given Input Data is 323, 320, 88, 148

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

Prime Factorization of 323 is 17 x 19

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

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

Prime Factorization of 148 is 2 x 2 x 37

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(323, 320) = 103360

GCD(323, 320) = ( 323 x 320 ) / 103360

GCD(323, 320) = 103360 / 103360

GCD(323, 320) = 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 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 323, 320, 88, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 501, 39, 930
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• GCD of 812, 450, 66, 915
• GCD of 605, 766, 38, 951
• GCD of 289, 249, 71, 677

1. What is the GCD of 323, 320, 88, 148?

GCD of 323, 320, 88, 148 is 1

2. Where do I get the detailed procedure to find GCD of 323, 320, 88, 148?

You can find a detailed procedure to find GCD of 323, 320, 88, 148 on our page.

3. How to find GCD of 323, 320, 88, 148 on a calculator?

You can find the GCD of 323, 320, 88, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.