How to Find GCF of 5057/112, 8613/4384?

GCF of 5057/112, 8613/4384

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 5057/112, 8613/4384 i.e 1/30688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5057/112, 8613/4384.

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 5057/112,8613/4384?

Given fractions are 5057/112,8613/4384

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 5057/112,8613/4384, numerators are 5057,8613

Denominators are 112,4384

The GCF of 5057,8613 is 1 .

LCM of 112,4384 is 30688.

The greatest common factor of 5057/112,8613/4384 = [GCF of 5057,8613]/[LCM of 112,4384]= 1/30688

Therefore, the GCF of 5057/112,8613/4384 is 1/30688.

Greatest Common Factor of 5057,8613

To find the highest common factor of 5057,8613, we have to find the factors of both numbers and list the highest common factor.

The factors of 5057 are 1, 13, 389, 5057

The factors of 8613 are 1, 3, 9, 11, 27, 29, 33, 87, 99, 261, 297, 319, 783, 957, 2871, 8613

The HCF of 5057,8613 is 1.

Lets's calculate GCF of 5057,8613

Greatest Common Factor (GCF) of 5057,8613 By Common Division

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

Greatest Common Factor of 5057,8613 By Matching Biggest Common Factor Method

Now, list down the factors of 5057

1,13,389,5057

Now, list down the factors of 8613

1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613

Greatest Common Factor

We found the factors 5057,8613 . The biggest common factor number is the GCF number.
So the greatest common factor 5057,8613 is 1.

Lets's calculate LCM of 112,4384

Lowest Common Multiple of 112,4384 using Common Division

2	112, 4384
2	56, 2192
2	28, 1096
2	14, 548
	7, 274

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 274 = 30688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30688

Therefore, the GCF of Fractions 5057/112,8613/4384 is 1/30688

Least Common Multiple of 112,4384 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 112,4384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,4384) = 16

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

GCF(112,4384) x common factors =16 x 1 = 16

LCM(112,4384) = ( 112 × 4384 ) / 16

LCM(112,4384) = 491008 / 16

LCM(112,4384) = 30688

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FAQs on GCF of Fractions of 5057/112, 8613/4384

1. What is the HCF of 5057,8613?

The HCF of 5057,8613 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 5057/112, 8613/4384?

Answer: GCF of Numerators as per given numbers 5057/112, 8613/4384 is

GCF of Numerators i.e. for 5057,8613 is 1

LCM of denominators i.e. for 112,4384 is 30688.

Thus, GCF of Fractions is 1/30688.Finally, GCF of Fractions for 5057/112, 8613/4384 is 1/30688.