How to Find GCF of 448/988, 7739/896?

GCF of 448/988, 7739/896

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 448/988, 7739/896 i.e 1/221312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/988, 7739/896.

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 448/988,7739/896?

Given fractions are 448/988,7739/896

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 448/988,7739/896, numerators are 448,7739

Denominators are 988,896

The GCF of 448,7739 is 1 .

LCM of 988,896 is 221312.

The greatest common factor of 448/988,7739/896 = [GCF of 448,7739]/[LCM of 988,896]= 1/221312

Therefore, the GCF of 448/988,7739/896 is 1/221312.

Greatest Common Factor of 448,7739

To find the highest common factor of 448,7739, we have to find the factors of both numbers and list the highest common factor.

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The factors of 7739 are 1, 71, 109, 7739

The HCF of 448,7739 is 1.

Lets's calculate GCF of 448,7739

Greatest Common Factor (GCF) of 448,7739 By Common Division

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

Greatest Common Factor of 448,7739 By Matching Biggest Common Factor Method

Now, list down the factors of 448

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Now, list down the factors of 7739

1,71,109,7739

Greatest Common Factor

We found the factors 448,7739 . The biggest common factor number is the GCF number.
So the greatest common factor 448,7739 is 1.

Lets's calculate LCM of 988,896

Lowest Common Multiple of 988,896 using Common Division

2	988, 896
2	494, 448
	247, 224

∴ So the LCM of the given numbers is 2 x 2 x 247 x 224 = 221312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221312

Therefore, the GCF of Fractions 448/988,7739/896 is 1/221312

Least Common Multiple of 988,896 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 988,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,896) = 4

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

GCF(988,896) x common factors =4 x 1 = 4

LCM(988,896) = ( 988 × 896 ) / 4

LCM(988,896) = 885248 / 4

LCM(988,896) = 221312

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FAQs on GCF of Fractions of 448/988, 7739/896

1. What is the HCF of 448,7739?

The HCF of 448,7739 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 448/988, 7739/896?

Answer: GCF of Numerators as per given numbers 448/988, 7739/896 is

GCF of Numerators i.e. for 448,7739 is 1

LCM of denominators i.e. for 988,896 is 221312.

Thus, GCF of Fractions is 1/221312.Finally, GCF of Fractions for 448/988, 7739/896 is 1/221312.