GCD of 886, 698, 188, 802 Calculator

Given Input numbers are 886, 698, 188, 802

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

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 802

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

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 886, 698, 188, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 698, 188, 802 is 2.

Therefore, GCD of numbers 886, 698, 188, 802 is 2

Given Input Data is 886, 698, 188, 802

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

Prime Factorization of 886 is 2 x 443

Prime Factorization of 698 is 2 x 349

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 802 is 2 x 401

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(886, 698) = 309214

GCD(886, 698) = ( 886 x 698 ) / 309214

GCD(886, 698) = 618428 / 309214

GCD(886, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 188

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

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

GCD(2, 188) = 376 / 188

GCD(2, 188) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

GCD of 886, 698, 188, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 357, 598, 189
• GCD of 442, 378, 978, 985
• GCD of 111, 338, 419, 521
• GCD of 613, 442, 522, 515
• GCD of 520, 430, 732, 959

1. What is the GCD of 886, 698, 188, 802?

GCD of 886, 698, 188, 802 is 2

2. Where do I get the detailed procedure to find GCD of 886, 698, 188, 802?

You can find a detailed procedure to find GCD of 886, 698, 188, 802 on our page.

3. How to find GCD of 886, 698, 188, 802 on a calculator?

You can find the GCD of 886, 698, 188, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.