GCD of 48, 195, 343, 491 Calculator

Given Input numbers are 48, 195, 343, 491

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 48, 195, 343, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 195, 343, 491 is 1.

Therefore, GCD of numbers 48, 195, 343, 491 is 1

Given Input Data is 48, 195, 343, 491

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 491 is 491

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(48, 195) = 3120

GCD(48, 195) = ( 48 x 195 ) / 3120

GCD(48, 195) = 9360 / 3120

GCD(48, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 343

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

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

GCD(3, 343) = 1029 / 1029

GCD(3, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 48, 195, 343, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 641, 373, 426
• GCD of 45, 643, 587, 684
• GCD of 51, 851, 646, 896
• GCD of 45, 653, 942, 189
• GCD of 64, 495, 368, 279

1. What is the GCD of 48, 195, 343, 491?

GCD of 48, 195, 343, 491 is 1

2. Where do I get the detailed procedure to find GCD of 48, 195, 343, 491?

You can find a detailed procedure to find GCD of 48, 195, 343, 491 on our page.

3. How to find GCD of 48, 195, 343, 491 on a calculator?

You can find the GCD of 48, 195, 343, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.