GCD of 288, 737, 22, 120 Calculator

Given Input numbers are 288, 737, 22, 120

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 288, 737, 22, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 737, 22, 120 is 1.

Therefore, GCD of numbers 288, 737, 22, 120 is 1

Given Input Data is 288, 737, 22, 120

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 737 is 11 x 67

Prime Factorization of 22 is 2 x 11

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(288, 737) = 212256

GCD(288, 737) = ( 288 x 737 ) / 212256

GCD(288, 737) = 212256 / 212256

GCD(288, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 288, 737, 22, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 559, 75, 497
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• GCD of 550, 884, 58, 566

1. What is the GCD of 288, 737, 22, 120?

GCD of 288, 737, 22, 120 is 1

2. Where do I get the detailed procedure to find GCD of 288, 737, 22, 120?

You can find a detailed procedure to find GCD of 288, 737, 22, 120 on our page.

3. How to find GCD of 288, 737, 22, 120 on a calculator?

You can find the GCD of 288, 737, 22, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.