How to Find GCF of 254/479, 5640/703?

GCF of 254/479, 5640/703

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 254/479, 5640/703 i.e 2/336737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 254/479, 5640/703.

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 254/479,5640/703?

Given fractions are 254/479,5640/703

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 254/479,5640/703, numerators are 254,5640

Denominators are 479,703

The GCF of 254,5640 is 2 .

LCM of 479,703 is 336737.

The greatest common factor of 254/479,5640/703 = [GCF of 254,5640]/[LCM of 479,703]= 2/336737

Therefore, the GCF of 254/479,5640/703 is 2/336737.

Greatest Common Factor of 254,5640

To find the highest common factor of 254,5640, 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 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640

The HCF of 254,5640 is 2.

Lets's calculate GCF of 254,5640

Greatest Common Factor (GCF) of 254,5640 By Common Division

2	254, 5640
	127, 2820

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

Greatest Common Factor of 254,5640 By Matching Biggest Common Factor Method

Now, list down the factors of 254

1,2,127,254

Now, list down the factors of 5640

1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640

Greatest Common Factor

We found the factors 254,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 254,5640 is 2.

Lets's calculate LCM of 479,703

Lowest Common Multiple of 479,703 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 336737

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/336737

Therefore, the GCF of Fractions 254/479,5640/703 is 2/336737

Least Common Multiple of 479,703 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 479,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,703) = 1

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

GCF(479,703) x common factors =1 x 1 = 1

LCM(479,703) = ( 479 × 703 ) / 1

LCM(479,703) = 336737 / 1

LCM(479,703) = 336737

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FAQs on GCF of Fractions of 254/479, 5640/703

1. What is the HCF of 254,5640?

The HCF of 254,5640 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 254/479, 5640/703?

Answer: GCF of Numerators as per given numbers 254/479, 5640/703 is

GCF of Numerators i.e. for 254,5640 is 2

LCM of denominators i.e. for 479,703 is 336737.

Thus, GCF of Fractions is 2/336737.Finally, GCF of Fractions for 254/479, 5640/703 is 2/336737.