GCD of 850, 224, 240, 560 Calculator

Given Input numbers are 850, 224, 240, 560

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 850, 224, 240, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 224, 240, 560 is 2.

Therefore, GCD of numbers 850, 224, 240, 560 is 2

Given Input Data is 850, 224, 240, 560

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(850, 224) = 95200

GCD(850, 224) = ( 850 x 224 ) / 95200

GCD(850, 224) = 190400 / 95200

GCD(850, 224) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 560

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

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

GCD(2, 560) = 1120 / 560

GCD(2, 560) = 2

GCD of 850, 224, 240, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 104, 251, 908
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• GCD of 583, 998, 141, 923

1. What is the GCD of 850, 224, 240, 560?

GCD of 850, 224, 240, 560 is 2

2. Where do I get the detailed procedure to find GCD of 850, 224, 240, 560?

You can find a detailed procedure to find GCD of 850, 224, 240, 560 on our page.

3. How to find GCD of 850, 224, 240, 560 on a calculator?

You can find the GCD of 850, 224, 240, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.