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GCD of 897, 299, 247, 455 Calculator

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


Online GCD Calculator is useful to find the GCD of 897, 299, 247, 455 quickly. Get the easiest ways to solve the greatest common divisor of 897, 299, 247, 455 i.e 13 in different methods as follows.

GCD of

How to Find GCD of Numbers 897, 299, 247, 455 with Factoring?

Given Input numbers are 897, 299, 247, 455

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455


GCD of numbers is the greatest common divisor

So, the GCD (897, 299, 247, 455) = 13.

Find GCD of 897, 299, 247, 455 using Prime Factorization

Given numbers are 897, 299, 247, 455

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 299 are 13 x 23

Prime factors of 247 are 13 x 19

Prime factors of 455 are 5 x 7 x 13

The highest common occurrence is 131

Therefore, GCD of 897, 299, 247, 455 is 13.

Steps to Calculate GCD of 897, 299, 247, 455 using LCM Formula

Given numbers are 897, 299, 247, 455

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

Apply this formula for all numbers.

Step1:

LCM(897, 299) = 897

GCD(897, 299) = ( 897 x 299 ) / 897

= 897 / 299

= 897


Step2:

LCM(299, 247) = 5681

GCD(299, 247) = ( 299 x 247 ) / 5681

= 299 / 247

= 299


Step3:

LCM(13, 455) = 455

GCD(13, 455) = ( 13 x 455 ) / 455

= 13 / 455

= 13


So, Greatest Common Divisor of 897, 299, 247, 455 is 13

GCD of Numbers Calculation Examples

Greatest Common Divisor of 897, 299, 247, 455

Given numbers are 897, 299, 247, 455
The greatest common divisor of numbers 897, 299, 247, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 299, 247, 455 is 13.

FAQs on GCD of 897, 299, 247, 455 Calculator

1. What is the GCD of 897, 299, 247, 455?

GCD of given numbers 897, 299, 247, 455 is 13


2. How to calculate the greatest common divisor of 897, 299, 247, 455?

We can find the highest common divisor of 897, 299, 247, 455 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 897, 299, 247, 455 i.e 13.


3. How can I use the GCD of 897, 299, 247, 455Calculator?

Out the numbers 897, 299, 247, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.