How to Find GCF of 9298/479, 7305/3777?

GCF of 9298/479, 7305/3777

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 9298/479, 7305/3777 i.e 1/1809183 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9298/479, 7305/3777.

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 9298/479,7305/3777?

Given fractions are 9298/479,7305/3777

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 9298/479,7305/3777, numerators are 9298,7305

Denominators are 479,3777

The GCF of 9298,7305 is 1 .

LCM of 479,3777 is 1809183.

The greatest common factor of 9298/479,7305/3777 = [GCF of 9298,7305]/[LCM of 479,3777]= 1/1809183

Therefore, the GCF of 9298/479,7305/3777 is 1/1809183.

Greatest Common Factor of 9298,7305

To find the highest common factor of 9298,7305, we have to find the factors of both numbers and list the highest common factor.

The factors of 9298 are 1, 2, 4649, 9298

The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305

The HCF of 9298,7305 is 1.

Lets's calculate GCF of 9298,7305

Greatest Common Factor (GCF) of 9298,7305 By Common Division

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

Greatest Common Factor of 9298,7305 By Matching Biggest Common Factor Method

Now, list down the factors of 9298

1,2,4649,9298

Now, list down the factors of 7305

1,3,5,15,487,1461,2435,7305

Greatest Common Factor

We found the factors 9298,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 9298,7305 is 1.

Lets's calculate LCM of 479,3777

Lowest Common Multiple of 479,3777 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1809183

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1809183

Therefore, the GCF of Fractions 9298/479,7305/3777 is 1/1809183

Least Common Multiple of 479,3777 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 479,3777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,3777) = 1

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

GCF(479,3777) x common factors =1 x 1 = 1

LCM(479,3777) = ( 479 × 3777 ) / 1

LCM(479,3777) = 1809183 / 1

LCM(479,3777) = 1809183

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FAQs on GCF of Fractions of 9298/479, 7305/3777

1. What is the HCF of 9298,7305?

The HCF of 9298,7305 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 9298/479, 7305/3777?

Answer: GCF of Numerators as per given numbers 9298/479, 7305/3777 is

GCF of Numerators i.e. for 9298,7305 is 1

LCM of denominators i.e. for 479,3777 is 1809183.

Thus, GCF of Fractions is 1/1809183.Finally, GCF of Fractions for 9298/479, 7305/3777 is 1/1809183.