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GCD of 660, 348, 774 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 348, 774 quickly. Get the easiest ways to solve the greatest common divisor of 660, 348, 774 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 348, 774 with Factoring?

Given Input numbers are 660, 348, 774

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774


GCD of numbers is the greatest common divisor

So, the GCD (660, 348, 774) = 6.

Find GCD of 660, 348, 774 using Prime Factorization

Given numbers are 660, 348, 774

The list of prime factors of all numbers are

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 21 x 31

Therefore, GCD of 660, 348, 774 is 6.

Steps to Calculate GCD of 660, 348, 774 using LCM Formula

Given numbers are 660, 348, 774

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

Apply this formula for all numbers.

Step1:

LCM(660, 348) = 19140

GCD(660, 348) = ( 660 x 348 ) / 19140

= 660 / 348

= 660


Step2:

LCM(12, 774) = 1548

GCD(12, 774) = ( 12 x 774 ) / 1548

= 12 / 774

= 12


So, Greatest Common Divisor of 660, 348, 774 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 348, 774

Given numbers are 660, 348, 774
The greatest common divisor of numbers 660, 348, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 348, 774 is 6.

FAQs on GCD of 660, 348, 774 Calculator

1. What is the GCD of 660, 348, 774?

GCD of given numbers 660, 348, 774 is 6


2. How to calculate the greatest common divisor of 660, 348, 774?

We can find the highest common divisor of 660, 348, 774 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 660, 348, 774 i.e 6.


3. How can I use the GCD of 660, 348, 774Calculator?

Out the numbers 660, 348, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.