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GCD of 320, 452, 245, 224 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 452, 245, 224 quickly. Get the easiest ways to solve the greatest common divisor of 320, 452, 245, 224 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 452, 245, 224 with Factoring?

Given Input numbers are 320, 452, 245, 224

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

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224


GCD of numbers is the greatest common divisor

So, the GCD (320, 452, 245, 224) = 1.

Find GCD of 320, 452, 245, 224 using Prime Factorization

Given numbers are 320, 452, 245, 224

The list of prime factors of all numbers are

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

Prime factors of 452 are 2 x 2 x 113

Prime factors of 245 are 5 x 7 x 7

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 320, 452, 245, 224 using LCM Formula

Given numbers are 320, 452, 245, 224

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

Apply this formula for all numbers.

Step1:

LCM(320, 452) = 36160

GCD(320, 452) = ( 320 x 452 ) / 36160

= 320 / 452

= 320


Step2:

LCM(4, 245) = 980

GCD(4, 245) = ( 4 x 245 ) / 980

= 4 / 245

= 4


Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1


So, Greatest Common Divisor of 320, 452, 245, 224 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 452, 245, 224

Given numbers are 320, 452, 245, 224
The greatest common divisor of numbers 320, 452, 245, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 452, 245, 224 is 1.

FAQs on GCD of 320, 452, 245, 224 Calculator

1. What is the GCD of 320, 452, 245, 224?

GCD of given numbers 320, 452, 245, 224 is 1


2. How to calculate the greatest common divisor of 320, 452, 245, 224?

We can find the highest common divisor of 320, 452, 245, 224 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 320, 452, 245, 224 i.e 1.


3. How can I use the GCD of 320, 452, 245, 224Calculator?

Out the numbers 320, 452, 245, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.