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GCF of 9259/480, 8794/1975

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 9259/480, 8794/1975 i.e 1/189600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9259/480, 8794/1975.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9259/480,8794/1975?

Given fractions are 9259/480,8794/1975

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 9259/480,8794/1975, numerators are 9259,8794

Denominators are 480,1975

The GCF of 9259,8794 is 1 .

LCM of 480,1975 is 189600.

The greatest common factor of 9259/480,8794/1975 = [GCF of 9259,8794]/[LCM of 480,1975]= 1/189600

Therefore, the GCF of 9259/480,8794/1975 is 1/189600.

Greatest Common Factor of 9259,8794

To find the highest common factor of 9259,8794, we have to find the factors of both numbers and list the highest common factor.

The factors of 9259 are 1, 47, 197, 9259

The factors of 8794 are 1, 2, 4397, 8794

The HCF of 9259,8794 is 1.

Lets's calculate GCF of 9259,8794

Greatest Common Factor (GCF) of 9259,8794 By Common Division

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

Greatest Common Factor of 9259,8794 By Matching Biggest Common Factor Method

Greatest Common Factor of 9259,8794 By Matching Biggest Common Factor Method

Now, list down the factors of 9259

:

1,47,197,9259

Now, list down the factors of 8794

:

1,2,4397,8794

Greatest Common Factor

We found the factors 9259,8794 . The biggest common factor number is the GCF number.
So the greatest common factor 9259,8794 is 1.

Lets's calculate LCM of 480,1975

Lowest Common Multiple of 480,1975 using Common Division

5 480, 1975
96, 395

∴ So the LCM of the given numbers is 5 x 96 x 395 = 189600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189600

Therefore, the GCF of Fractions 9259/480,8794/1975 is 1/189600

Least Common Multiple of 480,1975 with GCF Formula

Least Common Multiple of 480,1975 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 480,1975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,1975) = 5

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

GCF(480,1975) x common factors =5 x 1 = 5

LCM(480,1975) = ( 480 × 1975 ) / 5

LCM(480,1975) = 948000 / 5

LCM(480,1975) = 189600


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FAQs on GCF of Fractions of 9259/480, 8794/1975

1. What is the HCF of 9259,8794?

The HCF of 9259,8794 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 9259/480, 8794/1975?

Answer: GCF of Numerators as per given numbers 9259/480, 8794/1975 is

GCF of Numerators i.e. for 9259,8794 is 1

LCM of denominators i.e. for 480,1975 is 189600.

Thus, GCF of Fractions is 1/189600.Finally, GCF of Fractions for 9259/480, 8794/1975 is 1/189600.