GCD of 141, 331, 255, 748 Calculator

Given Input numbers are 141, 331, 255, 748

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

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 141, 331, 255, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 331, 255, 748 is 1.

Therefore, GCD of numbers 141, 331, 255, 748 is 1

Given Input Data is 141, 331, 255, 748

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 331 is 331

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(141, 331) = 46671

GCD(141, 331) = ( 141 x 331 ) / 46671

GCD(141, 331) = 46671 / 46671

GCD(141, 331) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 141, 331, 255, 748 is 1

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1. What is the GCD of 141, 331, 255, 748?

GCD of 141, 331, 255, 748 is 1

2. Where do I get the detailed procedure to find GCD of 141, 331, 255, 748?

You can find a detailed procedure to find GCD of 141, 331, 255, 748 on our page.

3. How to find GCD of 141, 331, 255, 748 on a calculator?

You can find the GCD of 141, 331, 255, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.