GCD of 964, 850, 216, 682 Calculator

Given Input numbers are 964, 850, 216, 682

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

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

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 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 964, 850, 216, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 850, 216, 682 is 2.

Therefore, GCD of numbers 964, 850, 216, 682 is 2

Given Input Data is 964, 850, 216, 682

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

Prime Factorization of 964 is 2 x 2 x 241

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

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 682 is 2 x 11 x 31

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(964, 850) = 409700

GCD(964, 850) = ( 964 x 850 ) / 409700

GCD(964, 850) = 819400 / 409700

GCD(964, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 216

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

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

GCD(2, 216) = 432 / 216

GCD(2, 216) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

GCD of 964, 850, 216, 682 is 2

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1. What is the GCD of 964, 850, 216, 682?

GCD of 964, 850, 216, 682 is 2

2. Where do I get the detailed procedure to find GCD of 964, 850, 216, 682?

You can find a detailed procedure to find GCD of 964, 850, 216, 682 on our page.

3. How to find GCD of 964, 850, 216, 682 on a calculator?

You can find the GCD of 964, 850, 216, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.