How to Find GCF of 9791/673, 9478/9078?

GCF of 9791/673, 9478/9078

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 9791/673, 9478/9078 i.e 1/6109494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9791/673, 9478/9078.

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 9791/673,9478/9078?

Given fractions are 9791/673,9478/9078

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 9791/673,9478/9078, numerators are 9791,9478

Denominators are 673,9078

The GCF of 9791,9478 is 1 .

LCM of 673,9078 is 6109494.

The greatest common factor of 9791/673,9478/9078 = [GCF of 9791,9478]/[LCM of 673,9078]= 1/6109494

Therefore, the GCF of 9791/673,9478/9078 is 1/6109494.

Greatest Common Factor of 9791,9478

To find the highest common factor of 9791,9478, we have to find the factors of both numbers and list the highest common factor.

The factors of 9791 are 1, 9791

The factors of 9478 are 1, 2, 7, 14, 677, 1354, 4739, 9478

The HCF of 9791,9478 is 1.

Lets's calculate GCF of 9791,9478

Greatest Common Factor (GCF) of 9791,9478 By Common Division

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

Greatest Common Factor of 9791,9478 By Matching Biggest Common Factor Method

Now, list down the factors of 9791

1,9791

Now, list down the factors of 9478

1,2,7,14,677,1354,4739,9478

Greatest Common Factor

We found the factors 9791,9478 . The biggest common factor number is the GCF number.
So the greatest common factor 9791,9478 is 1.

Lets's calculate LCM of 673,9078

Lowest Common Multiple of 673,9078 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6109494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6109494

Therefore, the GCF of Fractions 9791/673,9478/9078 is 1/6109494

Least Common Multiple of 673,9078 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 673,9078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,9078) = 1

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

GCF(673,9078) x common factors =1 x 1 = 1

LCM(673,9078) = ( 673 × 9078 ) / 1

LCM(673,9078) = 6109494 / 1

LCM(673,9078) = 6109494

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FAQs on GCF of Fractions of 9791/673, 9478/9078

1. What is the HCF of 9791,9478?

The HCF of 9791,9478 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 9791/673, 9478/9078?

Answer: GCF of Numerators as per given numbers 9791/673, 9478/9078 is

GCF of Numerators i.e. for 9791,9478 is 1

LCM of denominators i.e. for 673,9078 is 6109494.

Thus, GCF of Fractions is 1/6109494.Finally, GCF of Fractions for 9791/673, 9478/9078 is 1/6109494.