How to Find GCF of 9373/804, 9467/7666?

GCF of 9373/804, 9467/7666

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 9373/804, 9467/7666 i.e 1/3081732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9373/804, 9467/7666.

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 9373/804,9467/7666?

Given fractions are 9373/804,9467/7666

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 9373/804,9467/7666, numerators are 9373,9467

Denominators are 804,7666

The GCF of 9373,9467 is 1 .

LCM of 804,7666 is 3081732.

The greatest common factor of 9373/804,9467/7666 = [GCF of 9373,9467]/[LCM of 804,7666]= 1/3081732

Therefore, the GCF of 9373/804,9467/7666 is 1/3081732.

Greatest Common Factor of 9373,9467

To find the highest common factor of 9373,9467, we have to find the factors of both numbers and list the highest common factor.

The factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373

The factors of 9467 are 1, 9467

The HCF of 9373,9467 is 1.

Lets's calculate GCF of 9373,9467

Greatest Common Factor (GCF) of 9373,9467 By Common Division

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

Greatest Common Factor of 9373,9467 By Matching Biggest Common Factor Method

Now, list down the factors of 9373

1,7,13,91,103,721,1339,9373

Now, list down the factors of 9467

1,9467

Greatest Common Factor

We found the factors 9373,9467 . The biggest common factor number is the GCF number.
So the greatest common factor 9373,9467 is 1.

Lets's calculate LCM of 804,7666

Lowest Common Multiple of 804,7666 using Common Division

2	804, 7666
	402, 3833

∴ So the LCM of the given numbers is 2 x 402 x 3833 = 3081732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3081732

Therefore, the GCF of Fractions 9373/804,9467/7666 is 1/3081732

Least Common Multiple of 804,7666 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 804,7666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(804,7666) = 2

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

GCF(804,7666) x common factors =2 x 1 = 2

LCM(804,7666) = ( 804 × 7666 ) / 2

LCM(804,7666) = 6163464 / 2

LCM(804,7666) = 3081732

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FAQs on GCF of Fractions of 9373/804, 9467/7666

1. What is the HCF of 9373,9467?

The HCF of 9373,9467 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 9373/804, 9467/7666?

Answer: GCF of Numerators as per given numbers 9373/804, 9467/7666 is

GCF of Numerators i.e. for 9373,9467 is 1

LCM of denominators i.e. for 804,7666 is 3081732.

Thus, GCF of Fractions is 1/3081732.Finally, GCF of Fractions for 9373/804, 9467/7666 is 1/3081732.