How to Find GCF of 9467/723, 5333/8476?

GCF of 9467/723, 5333/8476

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 9467/723, 5333/8476 i.e 1/6128148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9467/723, 5333/8476.

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 9467/723,5333/8476?

Given fractions are 9467/723,5333/8476

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 9467/723,5333/8476, numerators are 9467,5333

Denominators are 723,8476

The GCF of 9467,5333 is 1 .

LCM of 723,8476 is 6128148.

The greatest common factor of 9467/723,5333/8476 = [GCF of 9467,5333]/[LCM of 723,8476]= 1/6128148

Therefore, the GCF of 9467/723,5333/8476 is 1/6128148.

Greatest Common Factor of 9467,5333

To find the highest common factor of 9467,5333, we have to find the factors of both numbers and list the highest common factor.

The factors of 9467 are 1, 9467

The factors of 5333 are 1, 5333

The HCF of 9467,5333 is 1.

Lets's calculate GCF of 9467,5333

Greatest Common Factor (GCF) of 9467,5333 By Common Division

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

Greatest Common Factor of 9467,5333 By Matching Biggest Common Factor Method

Now, list down the factors of 9467

1,9467

Now, list down the factors of 5333

1,5333

Greatest Common Factor

We found the factors 9467,5333 . The biggest common factor number is the GCF number.
So the greatest common factor 9467,5333 is 1.

Lets's calculate LCM of 723,8476

Lowest Common Multiple of 723,8476 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6128148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6128148

Therefore, the GCF of Fractions 9467/723,5333/8476 is 1/6128148

Least Common Multiple of 723,8476 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 723,8476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,8476) = 1

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

GCF(723,8476) x common factors =1 x 1 = 1

LCM(723,8476) = ( 723 × 8476 ) / 1

LCM(723,8476) = 6128148 / 1

LCM(723,8476) = 6128148

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FAQs on GCF of Fractions of 9467/723, 5333/8476

1. What is the HCF of 9467,5333?

The HCF of 9467,5333 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 9467/723, 5333/8476?

Answer: GCF of Numerators as per given numbers 9467/723, 5333/8476 is

GCF of Numerators i.e. for 9467,5333 is 1

LCM of denominators i.e. for 723,8476 is 6128148.

Thus, GCF of Fractions is 1/6128148.Finally, GCF of Fractions for 9467/723, 5333/8476 is 1/6128148.