How to Find GCF of 5564/558, 6848/916?

GCF of 5564/558, 6848/916

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 5564/558, 6848/916 i.e 428/255564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5564/558, 6848/916.

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 5564/558,6848/916?

Given fractions are 5564/558,6848/916

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 5564/558,6848/916, numerators are 5564,6848

Denominators are 558,916

The GCF of 5564,6848 is 428 .

LCM of 558,916 is 255564.

The greatest common factor of 5564/558,6848/916 = [GCF of 5564,6848]/[LCM of 558,916]= 428/255564

Therefore, the GCF of 5564/558,6848/916 is 428/255564.

Greatest Common Factor of 5564,6848

To find the highest common factor of 5564,6848, we have to find the factors of both numbers and list the highest common factor.

The factors of 5564 are 1, 2, 4, 13, 26, 52, 107, 214, 428, 1391, 2782, 5564

The factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848

The HCF of 5564,6848 is 428.

Lets's calculate GCF of 5564,6848

Greatest Common Factor (GCF) of 5564,6848 By Common Division

2	5564, 6848
2	2782, 3424
107	1391, 1712
	13, 16

∴ So the GCF of the given numbers is 2 x 2 x 107 = 428

Greatest Common Factor of 5564,6848 By Matching Biggest Common Factor Method

Now, list down the factors of 5564

1,2,4,13,26,52,107,214,428,1391,2782,5564

Now, list down the factors of 6848

1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848

Greatest Common Factor

We found the factors 5564,6848 . The biggest common factor number is the GCF number.
So the greatest common factor 5564,6848 is 428.

Lets's calculate LCM of 558,916

Lowest Common Multiple of 558,916 using Common Division

2	558, 916
	279, 458

∴ So the LCM of the given numbers is 2 x 279 x 458 = 255564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 428/255564

Therefore, the GCF of Fractions 5564/558,6848/916 is 428/255564

Least Common Multiple of 558,916 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 558,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,916) = 2

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

GCF(558,916) x common factors =2 x 1 = 2

LCM(558,916) = ( 558 × 916 ) / 2

LCM(558,916) = 511128 / 2

LCM(558,916) = 255564

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FAQs on GCF of Fractions of 5564/558, 6848/916

1. What is the HCF of 5564,6848?

The HCF of 5564,6848 is 428

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 5564/558, 6848/916?

Answer: GCF of Numerators as per given numbers 5564/558, 6848/916 is

GCF of Numerators i.e. for 5564,6848 is 428

LCM of denominators i.e. for 558,916 is 255564.

Thus, GCF of Fractions is 428/255564.Finally, GCF of Fractions for 5564/558, 6848/916 is 428/255564.