GCD of 675, 681, 78, 222 Calculator

Given Input numbers are 675, 681, 78, 222

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 675, 681, 78, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 681, 78, 222 is 3.

Therefore, GCD of numbers 675, 681, 78, 222 is 3

Given Input Data is 675, 681, 78, 222

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 681 is 3 x 227

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 222 is 2 x 3 x 37

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(675, 681) = 153225

GCD(675, 681) = ( 675 x 681 ) / 153225

GCD(675, 681) = 459675 / 153225

GCD(675, 681) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 222

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

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

GCD(3, 222) = 666 / 222

GCD(3, 222) = 3

GCD of 675, 681, 78, 222 is 3

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• GCD of 772, 350, 72, 704
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1. What is the GCD of 675, 681, 78, 222?

GCD of 675, 681, 78, 222 is 3

2. Where do I get the detailed procedure to find GCD of 675, 681, 78, 222?

You can find a detailed procedure to find GCD of 675, 681, 78, 222 on our page.

3. How to find GCD of 675, 681, 78, 222 on a calculator?

You can find the GCD of 675, 681, 78, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.