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GCD of 513, 840, 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 513, 840, 834 quickly. Get the easiest ways to solve the greatest common divisor of 513, 840, 834 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 840, 834 with Factoring?

Given Input numbers are 513, 840, 834

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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 (513, 840, 834) = 3.

Find GCD of 513, 840, 834 using Prime Factorization

Given numbers are 513, 840, 834

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 834 are 2 x 3 x 139

The highest common occurrence is 31

Therefore, GCD of 513, 840, 834 is 3.

Steps to Calculate GCD of 513, 840, 834 using LCM Formula

Given numbers are 513, 840, 834

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

Apply this formula for all numbers.

Step1:

LCM(513, 840) = 143640

GCD(513, 840) = ( 513 x 840 ) / 143640

= 513 / 840

= 513


Step2:

LCM(3, 834) = 834

GCD(3, 834) = ( 3 x 834 ) / 834

= 3 / 834

= 3


So, Greatest Common Divisor of 513, 840, 834 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 840, 834

Given numbers are 513, 840, 834
The greatest common divisor of numbers 513, 840, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 840, 834 is 3.

FAQs on GCD of 513, 840, 834 Calculator

1. What is the GCD of 513, 840, 834?

GCD of given numbers 513, 840, 834 is 3


2. How to calculate the greatest common divisor of 513, 840, 834?

We can find the highest common divisor of 513, 840, 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 513, 840, 834 i.e 3.


3. How can I use the GCD of 513, 840, 834Calculator?

Out the numbers 513, 840, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.