Greatest Common Factor of 43/31, 929/14, 281/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/31, 929/14, 281/897

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 43/31,929/14,281/897

Given fractions are 43/31,929/14,281/897

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 43,929,281

Greatest Common Factor of Numerators i.e. GCF of 43,929,281 is 1 .

LCM of Denominators means LCM of 31,14,897 as per the given fractions.

LCM of 31,14,897 is 389298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,929,281

GCF of Fractions 43/31,929/14,281/897 is 1/389298

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

Greatest Common Factor of 43,929,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,929,281 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 43,929,281 . The biggest common factor number is the GCF number.
So the greatest common factor 43,929,281 is 1.

Lets's calculate LCM of 31,14,897

Given numbers has no common factors except 1. So, there LCM is their product i.e 389298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389298

Therefore, the GCF of Fractions 43/31,929/14,281/897 is 1/389298

Least Common Multiple of 31,14,897 with GCF Formula

Least Common Multiple of 31,14,897 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 31,14,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,14,897) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,14,897) x common factors =1 x 1 = 1

LCM(31,14,897) = ( 31 × 14 × 897 ) / 1

LCM(31,14,897) = 389298 / 1

LCM(31,14,897) = 389298


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 43/31, 929/14, 281/897

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 43/31, 929/14, 281/897?

Answer: GCF of Numerators as per given numbers 43/31, 929/14, 281/897 is

GCF of Numerators i.e. for 43,929,281 is 1

LCM of denominators i.e. for 31,14,897 is 389298.

Thus, GCF of Fractions is 1/389298.Finally, GCF of Fractions for 43/31, 929/14, 281/897 is 1/389298.