GCD of 850, 530, 448, 684 Calculator

Given Input numbers are 850, 530, 448, 684

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 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 850, 530, 448, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 530, 448, 684 is 2.

Therefore, GCD of numbers 850, 530, 448, 684 is 2

Given Input Data is 850, 530, 448, 684

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 530 is 2 x 5 x 53

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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, 530) = 45050

GCD(850, 530) = ( 850 x 530 ) / 45050

GCD(850, 530) = 450500 / 45050

GCD(850, 530) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 448

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

LCM(10, 448) = 2240

GCD(10, 448) = ( 10 x 448 ) / 2240

GCD(10, 448) = 4480 / 2240

GCD(10, 448) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

GCD of 850, 530, 448, 684 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 409, 641, 886
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1. What is the GCD of 850, 530, 448, 684?

GCD of 850, 530, 448, 684 is 2

2. Where do I get the detailed procedure to find GCD of 850, 530, 448, 684?

You can find a detailed procedure to find GCD of 850, 530, 448, 684 on our page.

3. How to find GCD of 850, 530, 448, 684 on a calculator?

You can find the GCD of 850, 530, 448, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.