How to Find GCF of 9703/334, 5457/291?

GCF of 9703/334, 5457/291

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 9703/334, 5457/291 i.e 1/97194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9703/334, 5457/291.

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 9703/334,5457/291?

Given fractions are 9703/334,5457/291

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 9703/334,5457/291, numerators are 9703,5457

Denominators are 334,291

The GCF of 9703,5457 is 1 .

LCM of 334,291 is 97194.

The greatest common factor of 9703/334,5457/291 = [GCF of 9703,5457]/[LCM of 334,291]= 1/97194

Therefore, the GCF of 9703/334,5457/291 is 1/97194.

Greatest Common Factor of 9703,5457

To find the highest common factor of 9703,5457, we have to find the factors of both numbers and list the highest common factor.

The factors of 9703 are 1, 31, 313, 9703

The factors of 5457 are 1, 3, 17, 51, 107, 321, 1819, 5457

The HCF of 9703,5457 is 1.

Lets's calculate GCF of 9703,5457

Greatest Common Factor (GCF) of 9703,5457 By Common Division

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

Greatest Common Factor of 9703,5457 By Matching Biggest Common Factor Method

Now, list down the factors of 9703

1,31,313,9703

Now, list down the factors of 5457

1,3,17,51,107,321,1819,5457

Greatest Common Factor

We found the factors 9703,5457 . The biggest common factor number is the GCF number.
So the greatest common factor 9703,5457 is 1.

Lets's calculate LCM of 334,291

Lowest Common Multiple of 334,291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 97194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97194

Therefore, the GCF of Fractions 9703/334,5457/291 is 1/97194

Least Common Multiple of 334,291 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 334,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,291) = 1

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

GCF(334,291) x common factors =1 x 1 = 1

LCM(334,291) = ( 334 × 291 ) / 1

LCM(334,291) = 97194 / 1

LCM(334,291) = 97194

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FAQs on GCF of Fractions of 9703/334, 5457/291

1. What is the HCF of 9703,5457?

The HCF of 9703,5457 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 9703/334, 5457/291?

Answer: GCF of Numerators as per given numbers 9703/334, 5457/291 is

GCF of Numerators i.e. for 9703,5457 is 1

LCM of denominators i.e. for 334,291 is 97194.

Thus, GCF of Fractions is 1/97194.Finally, GCF of Fractions for 9703/334, 5457/291 is 1/97194.