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GCD of 560, 322, 355, 330 Calculator

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


Online GCD Calculator is useful to find the GCD of 560, 322, 355, 330 quickly. Get the easiest ways to solve the greatest common divisor of 560, 322, 355, 330 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 560, 322, 355, 330 with Factoring?

Given Input numbers are 560, 322, 355, 330

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330


GCD of numbers is the greatest common divisor

So, the GCD (560, 322, 355, 330) = 1.

Find GCD of 560, 322, 355, 330 using Prime Factorization

Given numbers are 560, 322, 355, 330

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 322 are 2 x 7 x 23

Prime factors of 355 are 5 x 71

Prime factors of 330 are 2 x 3 x 5 x 11

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

Steps to Calculate GCD of 560, 322, 355, 330 using LCM Formula

Given numbers are 560, 322, 355, 330

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

Apply this formula for all numbers.

Step1:

LCM(560, 322) = 12880

GCD(560, 322) = ( 560 x 322 ) / 12880

= 560 / 322

= 560


Step2:

LCM(14, 355) = 4970

GCD(14, 355) = ( 14 x 355 ) / 4970

= 14 / 355

= 14


Step3:

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

= 1 / 330

= 1


So, Greatest Common Divisor of 560, 322, 355, 330 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 560, 322, 355, 330

Given numbers are 560, 322, 355, 330
The greatest common divisor of numbers 560, 322, 355, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 322, 355, 330 is 1.

FAQs on GCD of 560, 322, 355, 330 Calculator

1. What is the GCD of 560, 322, 355, 330?

GCD of given numbers 560, 322, 355, 330 is 1


2. How to calculate the greatest common divisor of 560, 322, 355, 330?

We can find the highest common divisor of 560, 322, 355, 330 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 560, 322, 355, 330 i.e 1.


3. How can I use the GCD of 560, 322, 355, 330Calculator?

Out the numbers 560, 322, 355, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.