How to Find GCF of 5499/558, 5341/864?

GCF of 5499/558, 5341/864

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 5499/558, 5341/864 i.e 1/26784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5499/558, 5341/864.

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 5499/558,5341/864?

Given fractions are 5499/558,5341/864

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 5499/558,5341/864, numerators are 5499,5341

Denominators are 558,864

The GCF of 5499,5341 is 1 .

LCM of 558,864 is 26784.

The greatest common factor of 5499/558,5341/864 = [GCF of 5499,5341]/[LCM of 558,864]= 1/26784

Therefore, the GCF of 5499/558,5341/864 is 1/26784.

Greatest Common Factor of 5499,5341

To find the highest common factor of 5499,5341, we have to find the factors of both numbers and list the highest common factor.

The factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499

The factors of 5341 are 1, 7, 49, 109, 763, 5341

The HCF of 5499,5341 is 1.

Lets's calculate GCF of 5499,5341

Greatest Common Factor (GCF) of 5499,5341 By Common Division

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

Greatest Common Factor of 5499,5341 By Matching Biggest Common Factor Method

Now, list down the factors of 5499

1,3,9,13,39,47,117,141,423,611,1833,5499

Now, list down the factors of 5341

1,7,49,109,763,5341

Greatest Common Factor

We found the factors 5499,5341 . The biggest common factor number is the GCF number.
So the greatest common factor 5499,5341 is 1.

Lets's calculate LCM of 558,864

Lowest Common Multiple of 558,864 using Common Division

2	558, 864
3	279, 432
3	93, 144
	31, 48

∴ So the LCM of the given numbers is 2 x 3 x 3 x 31 x 48 = 26784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26784

Therefore, the GCF of Fractions 5499/558,5341/864 is 1/26784

Least Common Multiple of 558,864 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 558,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,864) = 18

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

GCF(558,864) x common factors =18 x 1 = 18

LCM(558,864) = ( 558 × 864 ) / 18

LCM(558,864) = 482112 / 18

LCM(558,864) = 26784

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FAQs on GCF of Fractions of 5499/558, 5341/864

1. What is the HCF of 5499,5341?

The HCF of 5499,5341 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 5499/558, 5341/864?

Answer: GCF of Numerators as per given numbers 5499/558, 5341/864 is

GCF of Numerators i.e. for 5499,5341 is 1

LCM of denominators i.e. for 558,864 is 26784.

Thus, GCF of Fractions is 1/26784.Finally, GCF of Fractions for 5499/558, 5341/864 is 1/26784.