GCD of 348, 500, 89, 480 Calculator

Given Input numbers are 348, 500, 89, 480

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 348, 500, 89, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 500, 89, 480 is 1.

Therefore, GCD of numbers 348, 500, 89, 480 is 1

Given Input Data is 348, 500, 89, 480

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 89 is 89

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 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(348, 500) = 43500

GCD(348, 500) = ( 348 x 500 ) / 43500

GCD(348, 500) = 174000 / 43500

GCD(348, 500) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 348, 500, 89, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 700, 87, 540
• GCD of 625, 484, 83, 135
• GCD of 219, 475, 91, 811
• GCD of 932, 966, 49, 959
• GCD of 722, 380, 33, 240

1. What is the GCD of 348, 500, 89, 480?

GCD of 348, 500, 89, 480 is 1

2. Where do I get the detailed procedure to find GCD of 348, 500, 89, 480?

You can find a detailed procedure to find GCD of 348, 500, 89, 480 on our page.

3. How to find GCD of 348, 500, 89, 480 on a calculator?

You can find the GCD of 348, 500, 89, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.