GCD of 81, 742, 248, 144 Calculator

Given Input numbers are 81, 742, 248, 144

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 81, 742, 248, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 742, 248, 144 is 1.

Therefore, GCD of numbers 81, 742, 248, 144 is 1

Given Input Data is 81, 742, 248, 144

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(81, 742) = 60102

GCD(81, 742) = ( 81 x 742 ) / 60102

GCD(81, 742) = 60102 / 60102

GCD(81, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 81, 742, 248, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 811, 262, 253
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• GCD of 69, 923, 109, 543
• GCD of 98, 147, 782, 434

1. What is the GCD of 81, 742, 248, 144?

GCD of 81, 742, 248, 144 is 1

2. Where do I get the detailed procedure to find GCD of 81, 742, 248, 144?

You can find a detailed procedure to find GCD of 81, 742, 248, 144 on our page.

3. How to find GCD of 81, 742, 248, 144 on a calculator?

You can find the GCD of 81, 742, 248, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.