GCD of 894, 802, 80, 708 Calculator

Given Input numbers are 894, 802, 80, 708

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 894, 802, 80, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 802, 80, 708 is 2.

Therefore, GCD of numbers 894, 802, 80, 708 is 2

Given Input Data is 894, 802, 80, 708

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 802 is 2 x 401

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(894, 802) = 358494

GCD(894, 802) = ( 894 x 802 ) / 358494

GCD(894, 802) = 716988 / 358494

GCD(894, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 894, 802, 80, 708 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 974, 85, 634
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• GCD of 789, 325, 58, 194
• GCD of 573, 473, 32, 330

1. What is the GCD of 894, 802, 80, 708?

GCD of 894, 802, 80, 708 is 2

2. Where do I get the detailed procedure to find GCD of 894, 802, 80, 708?

You can find a detailed procedure to find GCD of 894, 802, 80, 708 on our page.

3. How to find GCD of 894, 802, 80, 708 on a calculator?

You can find the GCD of 894, 802, 80, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.