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 297/60, 349/334

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 297/60, 349/334 i.e 1/10020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 297/60, 349/334.

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 297/60,349/334?

Given fractions are 297/60,349/334

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 297/60,349/334, numerators are 297,349

Denominators are 60,334

The GCF of 297,349 is 1 .

LCM of 60,334 is 10020.

The greatest common factor of 297/60,349/334 = [GCF of 297,349]/[LCM of 60,334]= 1/10020

Therefore, the GCF of 297/60,349/334 is 1/10020.

Greatest Common Factor of 297,349

To find the highest common factor of 297,349, we have to find the factors of both numbers and list the highest common factor.

The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297

The factors of 349 are 1, 349

The HCF of 297,349 is 1.

Lets's calculate GCF of 297,349

Greatest Common Factor (GCF) of 297,349 By Common Division

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

Greatest Common Factor of 297,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,349 By Matching Biggest Common Factor Method

Now, list down the factors of 297

:

1,3,9,11,27,33,99,297

Now, list down the factors of 349

:

1,349

Greatest Common Factor

We found the factors 297,349 . The biggest common factor number is the GCF number.
So the greatest common factor 297,349 is 1.

Lets's calculate LCM of 60,334

Lowest Common Multiple of 60,334 using Common Division

2 60, 334
30, 167

∴ So the LCM of the given numbers is 2 x 30 x 167 = 10020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10020

Therefore, the GCF of Fractions 297/60,349/334 is 1/10020

Least Common Multiple of 60,334 with GCF Formula

Least Common Multiple of 60,334 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 60,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,334) = 2

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

GCF(60,334) x common factors =2 x 1 = 2

LCM(60,334) = ( 60 × 334 ) / 2

LCM(60,334) = 20040 / 2

LCM(60,334) = 10020


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 297/60, 349/334

1. What is the HCF of 297,349?

The HCF of 297,349 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 297/60, 349/334?

Answer: GCF of Numerators as per given numbers 297/60, 349/334 is

GCF of Numerators i.e. for 297,349 is 1

LCM of denominators i.e. for 60,334 is 10020.

Thus, GCF of Fractions is 1/10020.Finally, GCF of Fractions for 297/60, 349/334 is 1/10020.