Greatest Common Factor of 397/34, 499/71, 471/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 397/34, 499/71, 471/256

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 397/34,499/71,471/256

Given fractions are 397/34,499/71,471/256

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 397,499,471

Greatest Common Factor of Numerators i.e. GCF of 397,499,471 is 1 .

LCM of Denominators means LCM of 34,71,256 as per the given fractions.

LCM of 34,71,256 is 308992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 397,499,471

GCF of Fractions 397/34,499/71,471/256 is 1/308992

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 397,499,471 By Matching Biggest Common Factor Method

Greatest Common Factor of 397,499,471 By Matching Biggest Common Factor Method

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Greatest Common Factor

We found the factors 397,499,471 . The biggest common factor number is the GCF number.
So the greatest common factor 397,499,471 is 1.

Lets's calculate LCM of 34,71,256

2 34, 71, 256
17, 71, 128

∴ So the LCM of the given numbers is 2 x 17 x 71 x 128 = 308992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308992

Therefore, the GCF of Fractions 397/34,499/71,471/256 is 1/308992

Least Common Multiple of 34,71,256 with GCF Formula

Least Common Multiple of 34,71,256 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 34,71,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,71,256) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,71,256) x common factors =1 x 2 = 2

LCM(34,71,256) = ( 34 × 71 × 256 ) / 2

LCM(34,71,256) = 617984 / 2

LCM(34,71,256) = 308992


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 397/34, 499/71, 471/256

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 397/34, 499/71, 471/256?

Answer: GCF of Numerators as per given numbers 397/34, 499/71, 471/256 is

GCF of Numerators i.e. for 397,499,471 is 1

LCM of denominators i.e. for 34,71,256 is 308992.

Thus, GCF of Fractions is 1/308992.Finally, GCF of Fractions for 397/34, 499/71, 471/256 is 1/308992.