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GCD of 397, 254, 448 Calculator

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


Online GCD Calculator is useful to find the GCD of 397, 254, 448 quickly. Get the easiest ways to solve the greatest common divisor of 397, 254, 448 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 397, 254, 448 with Factoring?

Given Input numbers are 397, 254, 448

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448


GCD of numbers is the greatest common divisor

So, the GCD (397, 254, 448) = 1.

Find GCD of 397, 254, 448 using Prime Factorization

Given numbers are 397, 254, 448

The list of prime factors of all numbers are

Prime factors of 397 are 397

Prime factors of 254 are 2 x 127

Prime factors of 448 are 2 x 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 397, 254, 448 using LCM Formula

Given numbers are 397, 254, 448

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

Apply this formula for all numbers.

Step1:

LCM(397, 254) = 100838

GCD(397, 254) = ( 397 x 254 ) / 100838

= 397 / 254

= 397


Step2:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1


So, Greatest Common Divisor of 397, 254, 448 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 397, 254, 448

Given numbers are 397, 254, 448
The greatest common divisor of numbers 397, 254, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 254, 448 is 1.

FAQs on GCD of 397, 254, 448 Calculator

1. What is the GCD of 397, 254, 448?

GCD of given numbers 397, 254, 448 is 1


2. How to calculate the greatest common divisor of 397, 254, 448?

We can find the highest common divisor of 397, 254, 448 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 397, 254, 448 i.e 1.


3. How can I use the GCD of 397, 254, 448Calculator?

Out the numbers 397, 254, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.