GCD of 224, 852, 90, 680 Calculator

Given Input numbers are 224, 852, 90, 680

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

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 224, 852, 90, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 852, 90, 680 is 2.

Therefore, GCD of numbers 224, 852, 90, 680 is 2

Given Input Data is 224, 852, 90, 680

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 852 is 2 x 2 x 3 x 71

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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(224, 852) = 47712

GCD(224, 852) = ( 224 x 852 ) / 47712

GCD(224, 852) = 190848 / 47712

GCD(224, 852) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

GCD of 224, 852, 90, 680 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 202, 24, 273
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1. What is the GCD of 224, 852, 90, 680?

GCD of 224, 852, 90, 680 is 2

2. Where do I get the detailed procedure to find GCD of 224, 852, 90, 680?

You can find a detailed procedure to find GCD of 224, 852, 90, 680 on our page.

3. How to find GCD of 224, 852, 90, 680 on a calculator?

You can find the GCD of 224, 852, 90, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.