How to Find GCF of 5527/276, 1105/5632?

GCF of 5527/276, 1105/5632

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 5527/276, 1105/5632 i.e 1/388608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5527/276, 1105/5632.

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 5527/276,1105/5632?

Given fractions are 5527/276,1105/5632

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 5527/276,1105/5632, numerators are 5527,1105

Denominators are 276,5632

The GCF of 5527,1105 is 1 .

LCM of 276,5632 is 388608.

The greatest common factor of 5527/276,1105/5632 = [GCF of 5527,1105]/[LCM of 276,5632]= 1/388608

Therefore, the GCF of 5527/276,1105/5632 is 1/388608.

Greatest Common Factor of 5527,1105

To find the highest common factor of 5527,1105, we have to find the factors of both numbers and list the highest common factor.

The factors of 5527 are 1, 5527

The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105

The HCF of 5527,1105 is 1.

Lets's calculate GCF of 5527,1105

Greatest Common Factor (GCF) of 5527,1105 By Common Division

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

Greatest Common Factor of 5527,1105 By Matching Biggest Common Factor Method

Now, list down the factors of 5527

1,5527

Now, list down the factors of 1105

1,5,13,17,65,85,221,1105

Greatest Common Factor

We found the factors 5527,1105 . The biggest common factor number is the GCF number.
So the greatest common factor 5527,1105 is 1.

Lets's calculate LCM of 276,5632

Lowest Common Multiple of 276,5632 using Common Division

2	276, 5632
2	138, 2816
	69, 1408

∴ So the LCM of the given numbers is 2 x 2 x 69 x 1408 = 388608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388608

Therefore, the GCF of Fractions 5527/276,1105/5632 is 1/388608

Least Common Multiple of 276,5632 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 276,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,5632) = 4

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

GCF(276,5632) x common factors =4 x 1 = 4

LCM(276,5632) = ( 276 × 5632 ) / 4

LCM(276,5632) = 1554432 / 4

LCM(276,5632) = 388608

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FAQs on GCF of Fractions of 5527/276, 1105/5632

1. What is the HCF of 5527,1105?

The HCF of 5527,1105 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 5527/276, 1105/5632?

Answer: GCF of Numerators as per given numbers 5527/276, 1105/5632 is

GCF of Numerators i.e. for 5527,1105 is 1

LCM of denominators i.e. for 276,5632 is 388608.

Thus, GCF of Fractions is 1/388608.Finally, GCF of Fractions for 5527/276, 1105/5632 is 1/388608.