GCD of 288, 993, 967, 642 Calculator

Given Input numbers are 288, 993, 967, 642

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 288, 993, 967, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 993, 967, 642 is 1.

Therefore, GCD of numbers 288, 993, 967, 642 is 1

Given Input Data is 288, 993, 967, 642

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 993 is 3 x 331

Prime Factorization of 967 is 967

Prime Factorization of 642 is 2 x 3 x 107

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, 993) = 95328

GCD(288, 993) = ( 288 x 993 ) / 95328

GCD(288, 993) = 285984 / 95328

GCD(288, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 967

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

LCM(3, 967) = 2901

GCD(3, 967) = ( 3 x 967 ) / 2901

GCD(3, 967) = 2901 / 2901

GCD(3, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 288, 993, 967, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 957, 162, 673
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• GCD of 994, 615, 547, 950
• GCD of 996, 300, 978, 513
• GCD of 227, 291, 676, 677

1. What is the GCD of 288, 993, 967, 642?

GCD of 288, 993, 967, 642 is 1

2. Where do I get the detailed procedure to find GCD of 288, 993, 967, 642?

You can find a detailed procedure to find GCD of 288, 993, 967, 642 on our page.

3. How to find GCD of 288, 993, 967, 642 on a calculator?

You can find the GCD of 288, 993, 967, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.