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GCD of 660, 270, 344, 467 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, 270, 344, 467 quickly. Get the easiest ways to solve the greatest common divisor of 660, 270, 344, 467 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 270, 344, 467 with Factoring?

Given Input numbers are 660, 270, 344, 467

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467


GCD of numbers is the greatest common divisor

So, the GCD (660, 270, 344, 467) = 1.

Find GCD of 660, 270, 344, 467 using Prime Factorization

Given numbers are 660, 270, 344, 467

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 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 467 are 467

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 660, 270, 344, 467 using LCM Formula

Given numbers are 660, 270, 344, 467

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

Apply this formula for all numbers.

Step1:

LCM(660, 270) = 5940

GCD(660, 270) = ( 660 x 270 ) / 5940

= 660 / 270

= 660


Step2:

LCM(30, 344) = 5160

GCD(30, 344) = ( 30 x 344 ) / 5160

= 30 / 344

= 30


Step3:

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

= 2 / 467

= 2


So, Greatest Common Divisor of 660, 270, 344, 467 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 270, 344, 467

Given numbers are 660, 270, 344, 467
The greatest common divisor of numbers 660, 270, 344, 467 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 270, 344, 467 is 1.

FAQs on GCD of 660, 270, 344, 467 Calculator

1. What is the GCD of 660, 270, 344, 467?

GCD of given numbers 660, 270, 344, 467 is 1


2. How to calculate the greatest common divisor of 660, 270, 344, 467?

We can find the highest common divisor of 660, 270, 344, 467 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, 270, 344, 467 i.e 1.


3. How can I use the GCD of 660, 270, 344, 467Calculator?

Out the numbers 660, 270, 344, 467 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.