How to Find GCF of 5481/248, 1108/8788?

GCF of 5481/248, 1108/8788

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 5481/248, 1108/8788 i.e 1/544856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5481/248, 1108/8788.

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 5481/248,1108/8788?

Given fractions are 5481/248,1108/8788

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 5481/248,1108/8788, numerators are 5481,1108

Denominators are 248,8788

The GCF of 5481,1108 is 1 .

LCM of 248,8788 is 544856.

The greatest common factor of 5481/248,1108/8788 = [GCF of 5481,1108]/[LCM of 248,8788]= 1/544856

Therefore, the GCF of 5481/248,1108/8788 is 1/544856.

Greatest Common Factor of 5481,1108

To find the highest common factor of 5481,1108, we have to find the factors of both numbers and list the highest common factor.

The factors of 5481 are 1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481

The factors of 1108 are 1, 2, 4, 277, 554, 1108

The HCF of 5481,1108 is 1.

Lets's calculate GCF of 5481,1108

Greatest Common Factor (GCF) of 5481,1108 By Common Division

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

Greatest Common Factor of 5481,1108 By Matching Biggest Common Factor Method

Now, list down the factors of 5481

1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481

Now, list down the factors of 1108

1,2,4,277,554,1108

Greatest Common Factor

We found the factors 5481,1108 . The biggest common factor number is the GCF number.
So the greatest common factor 5481,1108 is 1.

Lets's calculate LCM of 248,8788

Lowest Common Multiple of 248,8788 using Common Division

2	248, 8788
2	124, 4394
	62, 2197

∴ So the LCM of the given numbers is 2 x 2 x 62 x 2197 = 544856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544856

Therefore, the GCF of Fractions 5481/248,1108/8788 is 1/544856

Least Common Multiple of 248,8788 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 248,8788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,8788) = 4

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

GCF(248,8788) x common factors =4 x 1 = 4

LCM(248,8788) = ( 248 × 8788 ) / 4

LCM(248,8788) = 2179424 / 4

LCM(248,8788) = 544856

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FAQs on GCF of Fractions of 5481/248, 1108/8788

1. What is the HCF of 5481,1108?

The HCF of 5481,1108 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 5481/248, 1108/8788?

Answer: GCF of Numerators as per given numbers 5481/248, 1108/8788 is

GCF of Numerators i.e. for 5481,1108 is 1

LCM of denominators i.e. for 248,8788 is 544856.

Thus, GCF of Fractions is 1/544856.Finally, GCF of Fractions for 5481/248, 1108/8788 is 1/544856.