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 242/68, 978/227

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 242/68, 978/227 i.e 2/15436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 242/68, 978/227.

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 242/68,978/227?

Given fractions are 242/68,978/227

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 242/68,978/227, numerators are 242,978

Denominators are 68,227

The GCF of 242,978 is 2 .

LCM of 68,227 is 15436.

The greatest common factor of 242/68,978/227 = [GCF of 242,978]/[LCM of 68,227]= 2/15436

Therefore, the GCF of 242/68,978/227 is 2/15436.

Greatest Common Factor of 242,978

To find the highest common factor of 242,978, we have to find the factors of both numbers and list the highest common factor.

The factors of 242 are 1, 2, 11, 22, 121, 242

The factors of 978 are 1, 2, 3, 6, 163, 326, 489, 978

The HCF of 242,978 is 2.

Lets's calculate GCF of 242,978

Greatest Common Factor (GCF) of 242,978 By Common Division

2 242, 978
121, 489

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 242,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,978 By Matching Biggest Common Factor Method

Now, list down the factors of 242

:

1,2,11,22,121,242

Now, list down the factors of 978

:

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 242,978 . The biggest common factor number is the GCF number.
So the greatest common factor 242,978 is 2.

Lets's calculate LCM of 68,227

Lowest Common Multiple of 68,227 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 15436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15436

Therefore, the GCF of Fractions 242/68,978/227 is 2/15436

Least Common Multiple of 68,227 with GCF Formula

Least Common Multiple of 68,227 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 68,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,227) = 1

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

GCF(68,227) x common factors =1 x 1 = 1

LCM(68,227) = ( 68 × 227 ) / 1

LCM(68,227) = 15436 / 1

LCM(68,227) = 15436


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 242/68, 978/227

1. What is the HCF of 242,978?

The HCF of 242,978 is 2

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 242/68, 978/227?

Answer: GCF of Numerators as per given numbers 242/68, 978/227 is

GCF of Numerators i.e. for 242,978 is 2

LCM of denominators i.e. for 68,227 is 15436.

Thus, GCF of Fractions is 2/15436.Finally, GCF of Fractions for 242/68, 978/227 is 2/15436.