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GCD of 660, 880, 320, 369 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, 880, 320, 369 quickly. Get the easiest ways to solve the greatest common divisor of 660, 880, 320, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 880, 320, 369 with Factoring?

Given Input numbers are 660, 880, 320, 369

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (660, 880, 320, 369) = 1.

Find GCD of 660, 880, 320, 369 using Prime Factorization

Given numbers are 660, 880, 320, 369

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 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 369 are 3 x 3 x 41

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

Steps to Calculate GCD of 660, 880, 320, 369 using LCM Formula

Given numbers are 660, 880, 320, 369

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

Apply this formula for all numbers.

Step1:

LCM(660, 880) = 2640

GCD(660, 880) = ( 660 x 880 ) / 2640

= 660 / 880

= 660


Step2:

LCM(220, 320) = 3520

GCD(220, 320) = ( 220 x 320 ) / 3520

= 220 / 320

= 220


Step3:

LCM(20, 369) = 7380

GCD(20, 369) = ( 20 x 369 ) / 7380

= 20 / 369

= 20


So, Greatest Common Divisor of 660, 880, 320, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 880, 320, 369

Given numbers are 660, 880, 320, 369
The greatest common divisor of numbers 660, 880, 320, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 880, 320, 369 is 1.

FAQs on GCD of 660, 880, 320, 369 Calculator

1. What is the GCD of 660, 880, 320, 369?

GCD of given numbers 660, 880, 320, 369 is 1


2. How to calculate the greatest common divisor of 660, 880, 320, 369?

We can find the highest common divisor of 660, 880, 320, 369 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, 880, 320, 369 i.e 1.


3. How can I use the GCD of 660, 880, 320, 369Calculator?

Out the numbers 660, 880, 320, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.