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GCD of 696, 464, 506 Calculator

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


Online GCD Calculator is useful to find the GCD of 696, 464, 506 quickly. Get the easiest ways to solve the greatest common divisor of 696, 464, 506 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 696, 464, 506 with Factoring?

Given Input numbers are 696, 464, 506

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506


GCD of numbers is the greatest common divisor

So, the GCD (696, 464, 506) = 2.

Find GCD of 696, 464, 506 using Prime Factorization

Given numbers are 696, 464, 506

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 21

Therefore, GCD of 696, 464, 506 is 2.

Steps to Calculate GCD of 696, 464, 506 using LCM Formula

Given numbers are 696, 464, 506

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

Apply this formula for all numbers.

Step1:

LCM(696, 464) = 1392

GCD(696, 464) = ( 696 x 464 ) / 1392

= 696 / 464

= 696


Step2:

LCM(232, 506) = 58696

GCD(232, 506) = ( 232 x 506 ) / 58696

= 232 / 506

= 232


So, Greatest Common Divisor of 696, 464, 506 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 696, 464, 506

Given numbers are 696, 464, 506
The greatest common divisor of numbers 696, 464, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 464, 506 is 2.

FAQs on GCD of 696, 464, 506 Calculator

1. What is the GCD of 696, 464, 506?

GCD of given numbers 696, 464, 506 is 2


2. How to calculate the greatest common divisor of 696, 464, 506?

We can find the highest common divisor of 696, 464, 506 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 696, 464, 506 i.e 2.


3. How can I use the GCD of 696, 464, 506Calculator?

Out the numbers 696, 464, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.