GCD of 222, 448, 102, 746 Calculator

Given Input numbers are 222, 448, 102, 746

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

Divisors of 222

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

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 222, 448, 102, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 448, 102, 746 is 2.

Therefore, GCD of numbers 222, 448, 102, 746 is 2

Given Input Data is 222, 448, 102, 746

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 746 is 2 x 373

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(222, 448) = 49728

GCD(222, 448) = ( 222 x 448 ) / 49728

GCD(222, 448) = 99456 / 49728

GCD(222, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 102

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

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

GCD(2, 102) = 204 / 102

GCD(2, 102) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

GCD of 222, 448, 102, 746 is 2

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• GCD of 338, 223, 111, 312
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• GCD of 860, 667, 783, 461

1. What is the GCD of 222, 448, 102, 746?

GCD of 222, 448, 102, 746 is 2

2. Where do I get the detailed procedure to find GCD of 222, 448, 102, 746?

You can find a detailed procedure to find GCD of 222, 448, 102, 746 on our page.

3. How to find GCD of 222, 448, 102, 746 on a calculator?

You can find the GCD of 222, 448, 102, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.