How to Find GCF of 7857/184, 6797/8924?

GCF of 7857/184, 6797/8924

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 7857/184, 6797/8924 i.e 1/17848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7857/184, 6797/8924.

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 7857/184,6797/8924?

Given fractions are 7857/184,6797/8924

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 7857/184,6797/8924, numerators are 7857,6797

Denominators are 184,8924

The GCF of 7857,6797 is 1 .

LCM of 184,8924 is 17848.

The greatest common factor of 7857/184,6797/8924 = [GCF of 7857,6797]/[LCM of 184,8924]= 1/17848

Therefore, the GCF of 7857/184,6797/8924 is 1/17848.

Greatest Common Factor of 7857,6797

To find the highest common factor of 7857,6797, we have to find the factors of both numbers and list the highest common factor.

The factors of 7857 are 1, 3, 9, 27, 81, 97, 291, 873, 2619, 7857

The factors of 6797 are 1, 7, 971, 6797

The HCF of 7857,6797 is 1.

Lets's calculate GCF of 7857,6797

Greatest Common Factor (GCF) of 7857,6797 By Common Division

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

Greatest Common Factor of 7857,6797 By Matching Biggest Common Factor Method

Now, list down the factors of 7857

1,3,9,27,81,97,291,873,2619,7857

Now, list down the factors of 6797

1,7,971,6797

Greatest Common Factor

We found the factors 7857,6797 . The biggest common factor number is the GCF number.
So the greatest common factor 7857,6797 is 1.

Lets's calculate LCM of 184,8924

Lowest Common Multiple of 184,8924 using Common Division

2	184, 8924
2	92, 4462
23	46, 2231
	2, 97

∴ So the LCM of the given numbers is 2 x 2 x 23 x 2 x 97 = 17848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17848

Therefore, the GCF of Fractions 7857/184,6797/8924 is 1/17848

Least Common Multiple of 184,8924 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 184,8924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,8924) = 92

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

GCF(184,8924) x common factors =92 x 1 = 92

LCM(184,8924) = ( 184 × 8924 ) / 92

LCM(184,8924) = 1642016 / 92

LCM(184,8924) = 17848

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FAQs on GCF of Fractions of 7857/184, 6797/8924

1. What is the HCF of 7857,6797?

The HCF of 7857,6797 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 7857/184, 6797/8924?

Answer: GCF of Numerators as per given numbers 7857/184, 6797/8924 is

GCF of Numerators i.e. for 7857,6797 is 1

LCM of denominators i.e. for 184,8924 is 17848.

Thus, GCF of Fractions is 1/17848.Finally, GCF of Fractions for 7857/184, 6797/8924 is 1/17848.