How to Find GCF of 9493/228, 4038/9712?

GCF of 9493/228, 4038/9712

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 9493/228, 4038/9712 i.e 1/553584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9493/228, 4038/9712.

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 9493/228,4038/9712?

Given fractions are 9493/228,4038/9712

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 9493/228,4038/9712, numerators are 9493,4038

Denominators are 228,9712

The GCF of 9493,4038 is 1 .

LCM of 228,9712 is 553584.

The greatest common factor of 9493/228,4038/9712 = [GCF of 9493,4038]/[LCM of 228,9712]= 1/553584

Therefore, the GCF of 9493/228,4038/9712 is 1/553584.

Greatest Common Factor of 9493,4038

To find the highest common factor of 9493,4038, we have to find the factors of both numbers and list the highest common factor.

The factors of 9493 are 1, 11, 863, 9493

The factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038

The HCF of 9493,4038 is 1.

Lets's calculate GCF of 9493,4038

Greatest Common Factor (GCF) of 9493,4038 By Common Division

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

Greatest Common Factor of 9493,4038 By Matching Biggest Common Factor Method

Now, list down the factors of 9493

1,11,863,9493

Now, list down the factors of 4038

1,2,3,6,673,1346,2019,4038

Greatest Common Factor

We found the factors 9493,4038 . The biggest common factor number is the GCF number.
So the greatest common factor 9493,4038 is 1.

Lets's calculate LCM of 228,9712

Lowest Common Multiple of 228,9712 using Common Division

2	228, 9712
2	114, 4856
	57, 2428

∴ So the LCM of the given numbers is 2 x 2 x 57 x 2428 = 553584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/553584

Therefore, the GCF of Fractions 9493/228,4038/9712 is 1/553584

Least Common Multiple of 228,9712 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 228,9712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,9712) = 4

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

GCF(228,9712) x common factors =4 x 1 = 4

LCM(228,9712) = ( 228 × 9712 ) / 4

LCM(228,9712) = 2214336 / 4

LCM(228,9712) = 553584

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9493/228, 4038/9712

1. What is the HCF of 9493,4038?

The HCF of 9493,4038 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 9493/228, 4038/9712?

Answer: GCF of Numerators as per given numbers 9493/228, 4038/9712 is

GCF of Numerators i.e. for 9493,4038 is 1

LCM of denominators i.e. for 228,9712 is 553584.

Thus, GCF of Fractions is 1/553584.Finally, GCF of Fractions for 9493/228, 4038/9712 is 1/553584.