GCD of 400, 898, 866, 958 Calculator

Given Input numbers are 400, 898, 866, 958

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

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 400, 898, 866, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 898, 866, 958 is 2.

Therefore, GCD of numbers 400, 898, 866, 958 is 2

Given Input Data is 400, 898, 866, 958

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

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 898 is 2 x 449

Prime Factorization of 866 is 2 x 433

Prime Factorization of 958 is 2 x 479

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(400, 898) = 179600

GCD(400, 898) = ( 400 x 898 ) / 179600

GCD(400, 898) = 359200 / 179600

GCD(400, 898) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 866

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

LCM(2, 866) = 866

GCD(2, 866) = ( 2 x 866 ) / 866

GCD(2, 866) = 1732 / 866

GCD(2, 866) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 958

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

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

GCD(2, 958) = 1916 / 958

GCD(2, 958) = 2

GCD of 400, 898, 866, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 832, 216, 913
• GCD of 868, 101, 793, 977
• GCD of 147, 975, 632, 320
• GCD of 120, 306, 759, 431
• GCD of 973, 228, 807, 339

1. What is the GCD of 400, 898, 866, 958?

GCD of 400, 898, 866, 958 is 2

2. Where do I get the detailed procedure to find GCD of 400, 898, 866, 958?

You can find a detailed procedure to find GCD of 400, 898, 866, 958 on our page.

3. How to find GCD of 400, 898, 866, 958 on a calculator?

You can find the GCD of 400, 898, 866, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.