GCD of 858, 448, 26, 116 Calculator

Given Input numbers are 858, 448, 26, 116

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 858, 448, 26, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 448, 26, 116 is 2.

Therefore, GCD of numbers 858, 448, 26, 116 is 2

Given Input Data is 858, 448, 26, 116

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 26 is 2 x 13

Prime Factorization of 116 is 2 x 2 x 29

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(858, 448) = 192192

GCD(858, 448) = ( 858 x 448 ) / 192192

GCD(858, 448) = 384384 / 192192

GCD(858, 448) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

GCD of 858, 448, 26, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 928, 70, 789
• GCD of 627, 945, 50, 450
• GCD of 573, 641, 57, 711
• GCD of 594, 600, 28, 309
• GCD of 626, 258, 88, 486

1. What is the GCD of 858, 448, 26, 116?

GCD of 858, 448, 26, 116 is 2

2. Where do I get the detailed procedure to find GCD of 858, 448, 26, 116?

You can find a detailed procedure to find GCD of 858, 448, 26, 116 on our page.

3. How to find GCD of 858, 448, 26, 116 on a calculator?

You can find the GCD of 858, 448, 26, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.