How to Find GCF of 254/748, 241/612?

GCF of 254/748, 241/612

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 254/748, 241/612 i.e 1/6732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/748, 241/612.

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 254/748,241/612?

Given fractions are 254/748,241/612

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 254/748,241/612, numerators are 254,241

Denominators are 748,612

The GCF of 254,241 is 1 .

LCM of 748,612 is 6732.

The greatest common factor of 254/748,241/612 = [GCF of 254,241]/[LCM of 748,612]= 1/6732

Therefore, the GCF of 254/748,241/612 is 1/6732.

Greatest Common Factor of 254,241

To find the highest common factor of 254,241, we have to find the factors of both numbers and list the highest common factor.

The factors of 254 are 1, 2, 127, 254

The factors of 241 are 1, 241

The HCF of 254,241 is 1.

Lets's calculate GCF of 254,241

Greatest Common Factor (GCF) of 254,241 By Common Division

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

Greatest Common Factor of 254,241 By Matching Biggest Common Factor Method

Now, list down the factors of 254

1,2,127,254

Now, list down the factors of 241

1,241

Greatest Common Factor

We found the factors 254,241 . The biggest common factor number is the GCF number.
So the greatest common factor 254,241 is 1.

Lets's calculate LCM of 748,612

Lowest Common Multiple of 748,612 using Common Division

2	748, 612
2	374, 306
17	187, 153
	11, 9

∴ So the LCM of the given numbers is 2 x 2 x 17 x 11 x 9 = 6732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6732

Therefore, the GCF of Fractions 254/748,241/612 is 1/6732

Least Common Multiple of 748,612 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 748,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,612) = 68

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

GCF(748,612) x common factors =68 x 1 = 68

LCM(748,612) = ( 748 × 612 ) / 68

LCM(748,612) = 457776 / 68

LCM(748,612) = 6732

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FAQs on GCF of Fractions of 254/748, 241/612

1. What is the HCF of 254,241?

The HCF of 254,241 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 254/748, 241/612?

Answer: GCF of Numerators as per given numbers 254/748, 241/612 is

GCF of Numerators i.e. for 254,241 is 1

LCM of denominators i.e. for 748,612 is 6732.

Thus, GCF of Fractions is 1/6732.Finally, GCF of Fractions for 254/748, 241/612 is 1/6732.