How to Find GCF of 6305/184, 4771/4695?

GCF of 6305/184, 4771/4695

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 6305/184, 4771/4695 i.e 13/863880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6305/184, 4771/4695.

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 6305/184,4771/4695?

Given fractions are 6305/184,4771/4695

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 6305/184,4771/4695, numerators are 6305,4771

Denominators are 184,4695

The GCF of 6305,4771 is 13 .

LCM of 184,4695 is 863880.

The greatest common factor of 6305/184,4771/4695 = [GCF of 6305,4771]/[LCM of 184,4695]= 13/863880

Therefore, the GCF of 6305/184,4771/4695 is 13/863880.

Greatest Common Factor of 6305,4771

To find the highest common factor of 6305,4771, we have to find the factors of both numbers and list the highest common factor.

The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305

The factors of 4771 are 1, 13, 367, 4771

The HCF of 6305,4771 is 13.

Lets's calculate GCF of 6305,4771

Greatest Common Factor (GCF) of 6305,4771 By Common Division

13	6305, 4771
	485, 367

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6305,4771 By Matching Biggest Common Factor Method

Now, list down the factors of 6305

1,5,13,65,97,485,1261,6305

Now, list down the factors of 4771

1,13,367,4771

Greatest Common Factor

We found the factors 6305,4771 . The biggest common factor number is the GCF number.
So the greatest common factor 6305,4771 is 13.

Lets's calculate LCM of 184,4695

Lowest Common Multiple of 184,4695 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 863880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/863880

Therefore, the GCF of Fractions 6305/184,4771/4695 is 13/863880

Least Common Multiple of 184,4695 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 184,4695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,4695) = 1

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

GCF(184,4695) x common factors =1 x 1 = 1

LCM(184,4695) = ( 184 × 4695 ) / 1

LCM(184,4695) = 863880 / 1

LCM(184,4695) = 863880

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6305/184, 4771/4695

1. What is the HCF of 6305,4771?

The HCF of 6305,4771 is 13

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 6305/184, 4771/4695?

Answer: GCF of Numerators as per given numbers 6305/184, 4771/4695 is

GCF of Numerators i.e. for 6305,4771 is 13

LCM of denominators i.e. for 184,4695 is 863880.

Thus, GCF of Fractions is 13/863880.Finally, GCF of Fractions for 6305/184, 4771/4695 is 13/863880.