GCD of 642, 703, 96, 222 Calculator

Given Input numbers are 642, 703, 96, 222

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

Divisors of 642

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

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 642, 703, 96, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 703, 96, 222 is 1.

Therefore, GCD of numbers 642, 703, 96, 222 is 1

Given Input Data is 642, 703, 96, 222

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 703 is 19 x 37

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 222 is 2 x 3 x 37

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(642, 703) = 451326

GCD(642, 703) = ( 642 x 703 ) / 451326

GCD(642, 703) = 451326 / 451326

GCD(642, 703) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 642, 703, 96, 222 is 1

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1. What is the GCD of 642, 703, 96, 222?

GCD of 642, 703, 96, 222 is 1

2. Where do I get the detailed procedure to find GCD of 642, 703, 96, 222?

You can find a detailed procedure to find GCD of 642, 703, 96, 222 on our page.

3. How to find GCD of 642, 703, 96, 222 on a calculator?

You can find the GCD of 642, 703, 96, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.