LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 458/14, 233/9109

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

Use our free GCF of Fractions Calculator tool to compute the GCF of 458/14, 233/9109 i.e 1/127526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 458/14, 233/9109.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 458/14,233/9109?

Given fractions are 458/14,233/9109

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 458/14,233/9109, numerators are 458,233

Denominators are 14,9109

The GCF of 458,233 is 1 .

LCM of 14,9109 is 127526.

The greatest common factor of 458/14,233/9109 = [GCF of 458,233]/[LCM of 14,9109]= 1/127526

Therefore, the GCF of 458/14,233/9109 is 1/127526.

Greatest Common Factor of 458,233

To find the highest common factor of 458,233, we have to find the factors of both numbers and list the highest common factor.

The factors of 458 are 1, 2, 229, 458

The factors of 233 are 1, 233

The HCF of 458,233 is 1.

Lets's calculate GCF of 458,233

Greatest Common Factor (GCF) of 458,233 By Common Division

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

Greatest Common Factor of 458,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,233 By Matching Biggest Common Factor Method

Now, list down the factors of 458

:

1,2,229,458

Now, list down the factors of 233

:

1,233

Greatest Common Factor

We found the factors 458,233 . The biggest common factor number is the GCF number.
So the greatest common factor 458,233 is 1.

Lets's calculate LCM of 14,9109

Lowest Common Multiple of 14,9109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 127526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127526

Therefore, the GCF of Fractions 458/14,233/9109 is 1/127526

Least Common Multiple of 14,9109 with GCF Formula

Least Common Multiple of 14,9109 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 14,9109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,9109) = 1

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

GCF(14,9109) x common factors =1 x 1 = 1

LCM(14,9109) = ( 14 × 9109 ) / 1

LCM(14,9109) = 127526 / 1

LCM(14,9109) = 127526


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 458/14, 233/9109

1. What is the HCF of 458,233?

The HCF of 458,233 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 458/14, 233/9109?

Answer: GCF of Numerators as per given numbers 458/14, 233/9109 is

GCF of Numerators i.e. for 458,233 is 1

LCM of denominators i.e. for 14,9109 is 127526.

Thus, GCF of Fractions is 1/127526.Finally, GCF of Fractions for 458/14, 233/9109 is 1/127526.