GCD of 850, 524, 42, 112 Calculator

Given Input numbers are 850, 524, 42, 112

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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

Greatest Common Divisior

We found the divisors of 850, 524, 42, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 524, 42, 112 is 2.

Therefore, GCD of numbers 850, 524, 42, 112 is 2

Given Input Data is 850, 524, 42, 112

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 524 is 2 x 2 x 131

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 112 is 2 x 2 x 2 x 2 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, 524) = 222700

GCD(850, 524) = ( 850 x 524 ) / 222700

GCD(850, 524) = 445400 / 222700

GCD(850, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 112

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

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

GCD(2, 112) = 224 / 112

GCD(2, 112) = 2

GCD of 850, 524, 42, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 667, 25, 531
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• GCD of 853, 474, 58, 942

1. What is the GCD of 850, 524, 42, 112?

GCD of 850, 524, 42, 112 is 2

2. Where do I get the detailed procedure to find GCD of 850, 524, 42, 112?

You can find a detailed procedure to find GCD of 850, 524, 42, 112 on our page.

3. How to find GCD of 850, 524, 42, 112 on a calculator?

You can find the GCD of 850, 524, 42, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.