How to Find GCF of 9947/541, 9447/7023?

GCF of 9947/541, 9447/7023

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 9947/541, 9447/7023 i.e 1/3799443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9947/541, 9447/7023.

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 9947/541,9447/7023?

Given fractions are 9947/541,9447/7023

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 9947/541,9447/7023, numerators are 9947,9447

Denominators are 541,7023

The GCF of 9947,9447 is 1 .

LCM of 541,7023 is 3799443.

The greatest common factor of 9947/541,9447/7023 = [GCF of 9947,9447]/[LCM of 541,7023]= 1/3799443

Therefore, the GCF of 9947/541,9447/7023 is 1/3799443.

Greatest Common Factor of 9947,9447

To find the highest common factor of 9947,9447, we have to find the factors of both numbers and list the highest common factor.

The factors of 9947 are 1, 7, 29, 49, 203, 343, 1421, 9947

The factors of 9447 are 1, 3, 47, 67, 141, 201, 3149, 9447

The HCF of 9947,9447 is 1.

Lets's calculate GCF of 9947,9447

Greatest Common Factor (GCF) of 9947,9447 By Common Division

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

Greatest Common Factor of 9947,9447 By Matching Biggest Common Factor Method

Now, list down the factors of 9947

1,7,29,49,203,343,1421,9947

Now, list down the factors of 9447

1,3,47,67,141,201,3149,9447

Greatest Common Factor

We found the factors 9947,9447 . The biggest common factor number is the GCF number.
So the greatest common factor 9947,9447 is 1.

Lets's calculate LCM of 541,7023

Lowest Common Multiple of 541,7023 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3799443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3799443

Therefore, the GCF of Fractions 9947/541,9447/7023 is 1/3799443

Least Common Multiple of 541,7023 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 541,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,7023) = 1

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

GCF(541,7023) x common factors =1 x 1 = 1

LCM(541,7023) = ( 541 × 7023 ) / 1

LCM(541,7023) = 3799443 / 1

LCM(541,7023) = 3799443

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9947/541, 9447/7023

1. What is the HCF of 9947,9447?

The HCF of 9947,9447 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 9947/541, 9447/7023?

Answer: GCF of Numerators as per given numbers 9947/541, 9447/7023 is

GCF of Numerators i.e. for 9947,9447 is 1

LCM of denominators i.e. for 541,7023 is 3799443.

Thus, GCF of Fractions is 1/3799443.Finally, GCF of Fractions for 9947/541, 9447/7023 is 1/3799443.