GCD of 938, 223, 144 Calculator

Given Input numbers are 938, 223, 144

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

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 938, 223, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 223, 144 is 1.

Therefore, GCD of numbers 938, 223, 144 is 1

Given Input Data is 938, 223, 144

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 223 is 223

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(938, 223) = 209174

GCD(938, 223) = ( 938 x 223 ) / 209174

GCD(938, 223) = 209174 / 209174

GCD(938, 223) = 1

Step2:

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 938, 223, 144 is 1

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1. What is the GCD of 938, 223, 144?

GCD of 938, 223, 144 is 1

2. Where do I get the detailed procedure to find GCD of 938, 223, 144?

You can find a detailed procedure to find GCD of 938, 223, 144 on our page.

3. How to find GCD of 938, 223, 144 on a calculator?

You can find the GCD of 938, 223, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.