GCD of 850, 310, 954, 224 Calculator

Given Input numbers are 850, 310, 954, 224

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

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

Greatest Common Divisior

We found the divisors of 850, 310, 954, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 310, 954, 224 is 2.

Therefore, GCD of numbers 850, 310, 954, 224 is 2

Given Input Data is 850, 310, 954, 224

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 310 is 2 x 5 x 31

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 224 is 2 x 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, 310) = 26350

GCD(850, 310) = ( 850 x 310 ) / 26350

GCD(850, 310) = 263500 / 26350

GCD(850, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 954

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

LCM(10, 954) = 4770

GCD(10, 954) = ( 10 x 954 ) / 4770

GCD(10, 954) = 9540 / 4770

GCD(10, 954) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 850, 310, 954, 224 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 156, 277, 358
• GCD of 434, 265, 230, 920
• GCD of 923, 136, 284, 757
• GCD of 601, 248, 883, 844
• GCD of 704, 508, 919, 119

1. What is the GCD of 850, 310, 954, 224?

GCD of 850, 310, 954, 224 is 2

2. Where do I get the detailed procedure to find GCD of 850, 310, 954, 224?

You can find a detailed procedure to find GCD of 850, 310, 954, 224 on our page.

3. How to find GCD of 850, 310, 954, 224 on a calculator?

You can find the GCD of 850, 310, 954, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.