How to Find GCF of 8803/520, 9479/5352?

GCF of 8803/520, 9479/5352

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 8803/520, 9479/5352 i.e 1/347880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8803/520, 9479/5352.

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 8803/520,9479/5352?

Given fractions are 8803/520,9479/5352

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 8803/520,9479/5352, numerators are 8803,9479

Denominators are 520,5352

The GCF of 8803,9479 is 1 .

LCM of 520,5352 is 347880.

The greatest common factor of 8803/520,9479/5352 = [GCF of 8803,9479]/[LCM of 520,5352]= 1/347880

Therefore, the GCF of 8803/520,9479/5352 is 1/347880.

Greatest Common Factor of 8803,9479

To find the highest common factor of 8803,9479, we have to find the factors of both numbers and list the highest common factor.

The factors of 8803 are 1, 8803

The factors of 9479 are 1, 9479

The HCF of 8803,9479 is 1.

Lets's calculate GCF of 8803,9479

Greatest Common Factor (GCF) of 8803,9479 By Common Division

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

Greatest Common Factor of 8803,9479 By Matching Biggest Common Factor Method

Now, list down the factors of 8803

1,8803

Now, list down the factors of 9479

1,9479

Greatest Common Factor

We found the factors 8803,9479 . The biggest common factor number is the GCF number.
So the greatest common factor 8803,9479 is 1.

Lets's calculate LCM of 520,5352

Lowest Common Multiple of 520,5352 using Common Division

2	520, 5352
2	260, 2676
2	130, 1338
	65, 669

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 669 = 347880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347880

Therefore, the GCF of Fractions 8803/520,9479/5352 is 1/347880

Least Common Multiple of 520,5352 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 520,5352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,5352) = 8

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

GCF(520,5352) x common factors =8 x 1 = 8

LCM(520,5352) = ( 520 × 5352 ) / 8

LCM(520,5352) = 2783040 / 8

LCM(520,5352) = 347880

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FAQs on GCF of Fractions of 8803/520, 9479/5352

1. What is the HCF of 8803,9479?

The HCF of 8803,9479 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 8803/520, 9479/5352?

Answer: GCF of Numerators as per given numbers 8803/520, 9479/5352 is

GCF of Numerators i.e. for 8803,9479 is 1

LCM of denominators i.e. for 520,5352 is 347880.

Thus, GCF of Fractions is 1/347880.Finally, GCF of Fractions for 8803/520, 9479/5352 is 1/347880.