How to Find GCF of 39/242, 54/664, 503/298?

GCF of 39/242, 54/664, 503/298

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 39/242, 54/664, 503/298 i.e 1/11971256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/242, 54/664, 503/298.

Enter two or more fractions separated by "commas"

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

What is the GCF of 39/242,54/664,503/298?

Given fractions are 39/242,54/664,503/298

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 39/242,54/664,503/298, numerators are 39,54,503

Denominators are 242,664,298

The GCF of 39,54,503 is 1 .

LCM of 242,664,298 is 11971256.

The greatest common factor of 39/242,54/664,503/298 = [GCF of 39,54,503]/[LCM of 242,664,298]= 1/11971256

Therefore, the GCF of 39/242,54/664,503/298 is 1/11971256.

Greatest Common Factor of 39,54,503

To find the highest common factor of 39,54,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 39 are 1, 3, 13, 39

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 503 are 1, 503

The HCF of 39,54,503 is 1.

Lets's calculate GCF of 39,54,503

Greatest Common Factor (GCF) of 39,54,503 By Common Division

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

Greatest Common Factor of 39,54,503 By Matching Biggest Common Factor Method

Now, list down the factors of 39

1,3,13,39

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 503

1,503

Greatest Common Factor

We found the factors 39,54,503 . The biggest common factor number is the GCF number.
So the greatest common factor 39,54,503 is 1.

Lets's calculate LCM of 242,664,298

Lowest Common Multiple of 242,664,298 using Common Division

2	242, 664, 298
	121, 332, 149

∴ So the LCM of the given numbers is 2 x 121 x 332 x 149 = 11971256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11971256

Therefore, the GCF of Fractions 39/242,54/664,503/298 is 1/11971256

Least Common Multiple of 242,664,298 with GCF Formula

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

We need to calculate greatest common factor of 242,664,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,664,298) = 2

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

GCF(242,664,298) x common factors =2 x 2 = 4

LCM(242,664,298) = ( 242 × 664 × 298 ) / 4

LCM(242,664,298) = 47885024 / 4

LCM(242,664,298) = 11971256

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 39/242, 54/664, 503/298

1. What is the HCF of 39,54,503?

The HCF of 39,54,503 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 39/242, 54/664, 503/298?

Answer: GCF of Numerators as per given numbers 39/242, 54/664, 503/298 is

GCF of Numerators i.e. for 39,54,503 is 1

LCM of denominators i.e. for 242,664,298 is 11971256.

Thus, GCF of Fractions is 1/11971256.Finally, GCF of Fractions for 39/242, 54/664, 503/298 is 1/11971256.