How to Find GCF of 7478/333, 6619/9697?

GCF of 7478/333, 6619/9697

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 7478/333, 6619/9697 i.e 1/3229101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7478/333, 6619/9697.

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 7478/333,6619/9697?

Given fractions are 7478/333,6619/9697

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 7478/333,6619/9697, numerators are 7478,6619

Denominators are 333,9697

The GCF of 7478,6619 is 1 .

LCM of 333,9697 is 3229101.

The greatest common factor of 7478/333,6619/9697 = [GCF of 7478,6619]/[LCM of 333,9697]= 1/3229101

Therefore, the GCF of 7478/333,6619/9697 is 1/3229101.

Greatest Common Factor of 7478,6619

To find the highest common factor of 7478,6619, we have to find the factors of both numbers and list the highest common factor.

The factors of 7478 are 1, 2, 3739, 7478

The factors of 6619 are 1, 6619

The HCF of 7478,6619 is 1.

Lets's calculate GCF of 7478,6619

Greatest Common Factor (GCF) of 7478,6619 By Common Division

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

Greatest Common Factor of 7478,6619 By Matching Biggest Common Factor Method

Now, list down the factors of 7478

1,2,3739,7478

Now, list down the factors of 6619

1,6619

Greatest Common Factor

We found the factors 7478,6619 . The biggest common factor number is the GCF number.
So the greatest common factor 7478,6619 is 1.

Lets's calculate LCM of 333,9697

Lowest Common Multiple of 333,9697 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3229101

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3229101

Therefore, the GCF of Fractions 7478/333,6619/9697 is 1/3229101

Least Common Multiple of 333,9697 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 333,9697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,9697) = 1

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

GCF(333,9697) x common factors =1 x 1 = 1

LCM(333,9697) = ( 333 × 9697 ) / 1

LCM(333,9697) = 3229101 / 1

LCM(333,9697) = 3229101

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FAQs on GCF of Fractions of 7478/333, 6619/9697

1. What is the HCF of 7478,6619?

The HCF of 7478,6619 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 7478/333, 6619/9697?

Answer: GCF of Numerators as per given numbers 7478/333, 6619/9697 is

GCF of Numerators i.e. for 7478,6619 is 1

LCM of denominators i.e. for 333,9697 is 3229101.

Thus, GCF of Fractions is 1/3229101.Finally, GCF of Fractions for 7478/333, 6619/9697 is 1/3229101.