How to Find GCF of 9297/980, 5439/3468?

GCF of 9297/980, 5439/3468

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 9297/980, 5439/3468 i.e 3/849660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9297/980, 5439/3468.

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 9297/980,5439/3468?

Given fractions are 9297/980,5439/3468

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 9297/980,5439/3468, numerators are 9297,5439

Denominators are 980,3468

The GCF of 9297,5439 is 3 .

LCM of 980,3468 is 849660.

The greatest common factor of 9297/980,5439/3468 = [GCF of 9297,5439]/[LCM of 980,3468]= 3/849660

Therefore, the GCF of 9297/980,5439/3468 is 3/849660.

Greatest Common Factor of 9297,5439

To find the highest common factor of 9297,5439, we have to find the factors of both numbers and list the highest common factor.

The factors of 9297 are 1, 3, 9, 1033, 3099, 9297

The factors of 5439 are 1, 3, 7, 21, 37, 49, 111, 147, 259, 777, 1813, 5439

The HCF of 9297,5439 is 3.

Lets's calculate GCF of 9297,5439

Greatest Common Factor (GCF) of 9297,5439 By Common Division

3	9297, 5439
	3099, 1813

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9297,5439 By Matching Biggest Common Factor Method

Now, list down the factors of 9297

1,3,9,1033,3099,9297

Now, list down the factors of 5439

1,3,7,21,37,49,111,147,259,777,1813,5439

Greatest Common Factor

We found the factors 9297,5439 . The biggest common factor number is the GCF number.
So the greatest common factor 9297,5439 is 3.

Lets's calculate LCM of 980,3468

Lowest Common Multiple of 980,3468 using Common Division

2	980, 3468
2	490, 1734
	245, 867

∴ So the LCM of the given numbers is 2 x 2 x 245 x 867 = 849660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/849660

Therefore, the GCF of Fractions 9297/980,5439/3468 is 3/849660

Least Common Multiple of 980,3468 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 980,3468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,3468) = 4

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

GCF(980,3468) x common factors =4 x 1 = 4

LCM(980,3468) = ( 980 × 3468 ) / 4

LCM(980,3468) = 3398640 / 4

LCM(980,3468) = 849660

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9297/980, 5439/3468

1. What is the HCF of 9297,5439?

The HCF of 9297,5439 is 3

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 9297/980, 5439/3468?

Answer: GCF of Numerators as per given numbers 9297/980, 5439/3468 is

GCF of Numerators i.e. for 9297,5439 is 3

LCM of denominators i.e. for 980,3468 is 849660.

Thus, GCF of Fractions is 3/849660.Finally, GCF of Fractions for 9297/980, 5439/3468 is 3/849660.