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GCD of 442, 400, 886, 834 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 442, 400, 886, 834 quickly. Get the easiest ways to solve the greatest common divisor of 442, 400, 886, 834 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 442, 400, 886, 834 with Factoring?

Given Input numbers are 442, 400, 886, 834

In the factoring method, we have to find the divisors of all numbers

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834


GCD of numbers is the greatest common divisor

So, the GCD (442, 400, 886, 834) = 2.

Find GCD of 442, 400, 886, 834 using Prime Factorization

Given numbers are 442, 400, 886, 834

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 886 are 2 x 443

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 21

Therefore, GCD of 442, 400, 886, 834 is 2.

Steps to Calculate GCD of 442, 400, 886, 834 using LCM Formula

Given numbers are 442, 400, 886, 834

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(442, 400) = 88400

GCD(442, 400) = ( 442 x 400 ) / 88400

= 442 / 400

= 442


Step2:

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

= 2 / 886

= 2


Step3:

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

= 2 / 834

= 2


So, Greatest Common Divisor of 442, 400, 886, 834 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 442, 400, 886, 834

Given numbers are 442, 400, 886, 834
The greatest common divisor of numbers 442, 400, 886, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 400, 886, 834 is 2.

FAQs on GCD of 442, 400, 886, 834 Calculator

1. What is the GCD of 442, 400, 886, 834?

GCD of given numbers 442, 400, 886, 834 is 2


2. How to calculate the greatest common divisor of 442, 400, 886, 834?

We can find the highest common divisor of 442, 400, 886, 834 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 442, 400, 886, 834 i.e 2.


3. How can I use the GCD of 442, 400, 886, 834Calculator?

Out the numbers 442, 400, 886, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.