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GCD of 664, 348, 762, 816 Calculator

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


Online GCD Calculator is useful to find the GCD of 664, 348, 762, 816 quickly. Get the easiest ways to solve the greatest common divisor of 664, 348, 762, 816 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 664, 348, 762, 816 with Factoring?

Given Input numbers are 664, 348, 762, 816

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816


GCD of numbers is the greatest common divisor

So, the GCD (664, 348, 762, 816) = 2.

Find GCD of 664, 348, 762, 816 using Prime Factorization

Given numbers are 664, 348, 762, 816

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 762 are 2 x 3 x 127

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

The highest common occurrence is 21

Therefore, GCD of 664, 348, 762, 816 is 2.

Steps to Calculate GCD of 664, 348, 762, 816 using LCM Formula

Given numbers are 664, 348, 762, 816

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

Apply this formula for all numbers.

Step1:

LCM(664, 348) = 57768

GCD(664, 348) = ( 664 x 348 ) / 57768

= 664 / 348

= 664


Step2:

LCM(4, 762) = 1524

GCD(4, 762) = ( 4 x 762 ) / 1524

= 4 / 762

= 4


Step3:

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

= 2 / 816

= 2


So, Greatest Common Divisor of 664, 348, 762, 816 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 664, 348, 762, 816

Given numbers are 664, 348, 762, 816
The greatest common divisor of numbers 664, 348, 762, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 348, 762, 816 is 2.

FAQs on GCD of 664, 348, 762, 816 Calculator

1. What is the GCD of 664, 348, 762, 816?

GCD of given numbers 664, 348, 762, 816 is 2


2. How to calculate the greatest common divisor of 664, 348, 762, 816?

We can find the highest common divisor of 664, 348, 762, 816 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 664, 348, 762, 816 i.e 2.


3. How can I use the GCD of 664, 348, 762, 816Calculator?

Out the numbers 664, 348, 762, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.