GCD of 269, 548, 73, 144 Calculator

Given Input numbers are 269, 548, 73, 144

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

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 269, 548, 73, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 548, 73, 144 is 1.

Therefore, GCD of numbers 269, 548, 73, 144 is 1

Given Input Data is 269, 548, 73, 144

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

Prime Factorization of 269 is 269

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 73 is 73

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(269, 548) = 147412

GCD(269, 548) = ( 269 x 548 ) / 147412

GCD(269, 548) = 147412 / 147412

GCD(269, 548) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 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 269, 548, 73, 144 is 1

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• GCD of 351, 757, 87, 276
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1. What is the GCD of 269, 548, 73, 144?

GCD of 269, 548, 73, 144 is 1

2. Where do I get the detailed procedure to find GCD of 269, 548, 73, 144?

You can find a detailed procedure to find GCD of 269, 548, 73, 144 on our page.

3. How to find GCD of 269, 548, 73, 144 on a calculator?

You can find the GCD of 269, 548, 73, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.