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GCD of 364, 170, 458, 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 364, 170, 458, 834 quickly. Get the easiest ways to solve the greatest common divisor of 364, 170, 458, 834 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 170, 458, 834 with Factoring?

Given Input numbers are 364, 170, 458, 834

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

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 (364, 170, 458, 834) = 2.

Find GCD of 364, 170, 458, 834 using Prime Factorization

Given numbers are 364, 170, 458, 834

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 170 are 2 x 5 x 17

Prime factors of 458 are 2 x 229

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 21

Therefore, GCD of 364, 170, 458, 834 is 2.

Steps to Calculate GCD of 364, 170, 458, 834 using LCM Formula

Given numbers are 364, 170, 458, 834

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

Apply this formula for all numbers.

Step1:

LCM(364, 170) = 30940

GCD(364, 170) = ( 364 x 170 ) / 30940

= 364 / 170

= 364


Step2:

LCM(2, 458) = 458

GCD(2, 458) = ( 2 x 458 ) / 458

= 2 / 458

= 2


Step3:

LCM(2, 834) = 834

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

= 2 / 834

= 2


So, Greatest Common Divisor of 364, 170, 458, 834 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 170, 458, 834

Given numbers are 364, 170, 458, 834
The greatest common divisor of numbers 364, 170, 458, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 170, 458, 834 is 2.

FAQs on GCD of 364, 170, 458, 834 Calculator

1. What is the GCD of 364, 170, 458, 834?

GCD of given numbers 364, 170, 458, 834 is 2


2. How to calculate the greatest common divisor of 364, 170, 458, 834?

We can find the highest common divisor of 364, 170, 458, 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 364, 170, 458, 834 i.e 2.


3. How can I use the GCD of 364, 170, 458, 834Calculator?

Out the numbers 364, 170, 458, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.