GCD of 90, 672, 112, 284 Calculator

Given Input numbers are 90, 672, 112, 284

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Greatest Common Divisior

We found the divisors of 90, 672, 112, 284 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 672, 112, 284 is 2.

Therefore, GCD of numbers 90, 672, 112, 284 is 2

Given Input Data is 90, 672, 112, 284

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 284 is 2 x 2 x 71

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(90, 672) = 10080

GCD(90, 672) = ( 90 x 672 ) / 10080

GCD(90, 672) = 60480 / 10080

GCD(90, 672) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 112

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

LCM(6, 112) = 336

GCD(6, 112) = ( 6 x 112 ) / 336

GCD(6, 112) = 672 / 336

GCD(6, 112) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

GCD of 90, 672, 112, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 64, 661, 216, 826
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• GCD of 54, 873, 882, 452
• GCD of 48, 125, 205, 648

1. What is the GCD of 90, 672, 112, 284?

GCD of 90, 672, 112, 284 is 2

2. Where do I get the detailed procedure to find GCD of 90, 672, 112, 284?

You can find a detailed procedure to find GCD of 90, 672, 112, 284 on our page.

3. How to find GCD of 90, 672, 112, 284 on a calculator?

You can find the GCD of 90, 672, 112, 284 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.