GCD of 868, 114, 10, 202 Calculator

Given Input numbers are 868, 114, 10, 202

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

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Greatest Common Divisior

We found the divisors of 868, 114, 10, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 114, 10, 202 is 2.

Therefore, GCD of numbers 868, 114, 10, 202 is 2

Given Input Data is 868, 114, 10, 202

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

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 10 is 2 x 5

Prime Factorization of 202 is 2 x 101

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(868, 114) = 49476

GCD(868, 114) = ( 868 x 114 ) / 49476

GCD(868, 114) = 98952 / 49476

GCD(868, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

GCD of 868, 114, 10, 202 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 445, 12, 294
• GCD of 757, 338, 68, 185
• GCD of 828, 151, 84, 539
• GCD of 695, 208, 12, 480
• GCD of 250, 724, 21, 889

1. What is the GCD of 868, 114, 10, 202?

GCD of 868, 114, 10, 202 is 2

2. Where do I get the detailed procedure to find GCD of 868, 114, 10, 202?

You can find a detailed procedure to find GCD of 868, 114, 10, 202 on our page.

3. How to find GCD of 868, 114, 10, 202 on a calculator?

You can find the GCD of 868, 114, 10, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.