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GCD of 834, 264, 196, 502 Calculator

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


Online GCD Calculator is useful to find the GCD of 834, 264, 196, 502 quickly. Get the easiest ways to solve the greatest common divisor of 834, 264, 196, 502 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 834, 264, 196, 502 with Factoring?

Given Input numbers are 834, 264, 196, 502

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

Divisors of 834 :

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502


GCD of numbers is the greatest common divisor

So, the GCD (834, 264, 196, 502) = 2.

Find GCD of 834, 264, 196, 502 using Prime Factorization

Given numbers are 834, 264, 196, 502

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 502 are 2 x 251

The highest common occurrence is 21

Therefore, GCD of 834, 264, 196, 502 is 2.

Steps to Calculate GCD of 834, 264, 196, 502 using LCM Formula

Given numbers are 834, 264, 196, 502

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

Apply this formula for all numbers.

Step1:

LCM(834, 264) = 36696

GCD(834, 264) = ( 834 x 264 ) / 36696

= 834 / 264

= 834


Step2:

LCM(6, 196) = 588

GCD(6, 196) = ( 6 x 196 ) / 588

= 6 / 196

= 6


Step3:

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

= 2 / 502

= 2


So, Greatest Common Divisor of 834, 264, 196, 502 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 834, 264, 196, 502

Given numbers are 834, 264, 196, 502
The greatest common divisor of numbers 834, 264, 196, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 264, 196, 502 is 2.

FAQs on GCD of 834, 264, 196, 502 Calculator

1. What is the GCD of 834, 264, 196, 502?

GCD of given numbers 834, 264, 196, 502 is 2


2. How to calculate the greatest common divisor of 834, 264, 196, 502?

We can find the highest common divisor of 834, 264, 196, 502 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 834, 264, 196, 502 i.e 2.


3. How can I use the GCD of 834, 264, 196, 502Calculator?

Out the numbers 834, 264, 196, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.