How to Find GCF of 9254/448, 7154/8199?

GCF of 9254/448, 7154/8199

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 9254/448, 7154/8199 i.e 14/3673152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9254/448, 7154/8199.

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 9254/448,7154/8199?

Given fractions are 9254/448,7154/8199

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 9254/448,7154/8199, numerators are 9254,7154

Denominators are 448,8199

The GCF of 9254,7154 is 14 .

LCM of 448,8199 is 3673152.

The greatest common factor of 9254/448,7154/8199 = [GCF of 9254,7154]/[LCM of 448,8199]= 14/3673152

Therefore, the GCF of 9254/448,7154/8199 is 14/3673152.

Greatest Common Factor of 9254,7154

To find the highest common factor of 9254,7154, we have to find the factors of both numbers and list the highest common factor.

The factors of 9254 are 1, 2, 7, 14, 661, 1322, 4627, 9254

The factors of 7154 are 1, 2, 7, 14, 49, 73, 98, 146, 511, 1022, 3577, 7154

The HCF of 9254,7154 is 14.

Lets's calculate GCF of 9254,7154

Greatest Common Factor (GCF) of 9254,7154 By Common Division

2	9254, 7154
7	4627, 3577
	661, 511

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9254,7154 By Matching Biggest Common Factor Method

Now, list down the factors of 9254

1,2,7,14,661,1322,4627,9254

Now, list down the factors of 7154

1,2,7,14,49,73,98,146,511,1022,3577,7154

Greatest Common Factor

We found the factors 9254,7154 . The biggest common factor number is the GCF number.
So the greatest common factor 9254,7154 is 14.

Lets's calculate LCM of 448,8199

Lowest Common Multiple of 448,8199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3673152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3673152

Therefore, the GCF of Fractions 9254/448,7154/8199 is 14/3673152

Least Common Multiple of 448,8199 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 448,8199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,8199) = 1

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

GCF(448,8199) x common factors =1 x 1 = 1

LCM(448,8199) = ( 448 × 8199 ) / 1

LCM(448,8199) = 3673152 / 1

LCM(448,8199) = 3673152

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FAQs on GCF of Fractions of 9254/448, 7154/8199

1. What is the HCF of 9254,7154?

The HCF of 9254,7154 is 14

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 9254/448, 7154/8199?

Answer: GCF of Numerators as per given numbers 9254/448, 7154/8199 is

GCF of Numerators i.e. for 9254,7154 is 14

LCM of denominators i.e. for 448,8199 is 3673152.

Thus, GCF of Fractions is 14/3673152.Finally, GCF of Fractions for 9254/448, 7154/8199 is 14/3673152.