How to Find GCF of 9304/479, 4112/4480?

GCF of 9304/479, 4112/4480

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 9304/479, 4112/4480 i.e 8/2145920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9304/479, 4112/4480.

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 9304/479,4112/4480?

Given fractions are 9304/479,4112/4480

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 9304/479,4112/4480, numerators are 9304,4112

Denominators are 479,4480

The GCF of 9304,4112 is 8 .

LCM of 479,4480 is 2145920.

The greatest common factor of 9304/479,4112/4480 = [GCF of 9304,4112]/[LCM of 479,4480]= 8/2145920

Therefore, the GCF of 9304/479,4112/4480 is 8/2145920.

Greatest Common Factor of 9304,4112

To find the highest common factor of 9304,4112, we have to find the factors of both numbers and list the highest common factor.

The factors of 9304 are 1, 2, 4, 8, 1163, 2326, 4652, 9304

The factors of 4112 are 1, 2, 4, 8, 16, 257, 514, 1028, 2056, 4112

The HCF of 9304,4112 is 8.

Lets's calculate GCF of 9304,4112

Greatest Common Factor (GCF) of 9304,4112 By Common Division

2	9304, 4112
2	4652, 2056
2	2326, 1028
	1163, 514

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9304,4112 By Matching Biggest Common Factor Method

Now, list down the factors of 9304

1,2,4,8,1163,2326,4652,9304

Now, list down the factors of 4112

1,2,4,8,16,257,514,1028,2056,4112

Greatest Common Factor

We found the factors 9304,4112 . The biggest common factor number is the GCF number.
So the greatest common factor 9304,4112 is 8.

Lets's calculate LCM of 479,4480

Lowest Common Multiple of 479,4480 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2145920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2145920

Therefore, the GCF of Fractions 9304/479,4112/4480 is 8/2145920

Least Common Multiple of 479,4480 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 479,4480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,4480) = 1

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

GCF(479,4480) x common factors =1 x 1 = 1

LCM(479,4480) = ( 479 × 4480 ) / 1

LCM(479,4480) = 2145920 / 1

LCM(479,4480) = 2145920

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FAQs on GCF of Fractions of 9304/479, 4112/4480

1. What is the HCF of 9304,4112?

The HCF of 9304,4112 is 8

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 9304/479, 4112/4480?

Answer: GCF of Numerators as per given numbers 9304/479, 4112/4480 is

GCF of Numerators i.e. for 9304,4112 is 8

LCM of denominators i.e. for 479,4480 is 2145920.

Thus, GCF of Fractions is 8/2145920.Finally, GCF of Fractions for 9304/479, 4112/4480 is 8/2145920.