How to Find GCF of 6085/381, 5925/8728?

GCF of 6085/381, 5925/8728

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 6085/381, 5925/8728 i.e 5/3325368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6085/381, 5925/8728.

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 6085/381,5925/8728?

Given fractions are 6085/381,5925/8728

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 6085/381,5925/8728, numerators are 6085,5925

Denominators are 381,8728

The GCF of 6085,5925 is 5 .

LCM of 381,8728 is 3325368.

The greatest common factor of 6085/381,5925/8728 = [GCF of 6085,5925]/[LCM of 381,8728]= 5/3325368

Therefore, the GCF of 6085/381,5925/8728 is 5/3325368.

Greatest Common Factor of 6085,5925

To find the highest common factor of 6085,5925, we have to find the factors of both numbers and list the highest common factor.

The factors of 6085 are 1, 5, 1217, 6085

The factors of 5925 are 1, 3, 5, 15, 25, 75, 79, 237, 395, 1185, 1975, 5925

The HCF of 6085,5925 is 5.

Lets's calculate GCF of 6085,5925

Greatest Common Factor (GCF) of 6085,5925 By Common Division

5	6085, 5925
	1217, 1185

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6085,5925 By Matching Biggest Common Factor Method

Now, list down the factors of 6085

1,5,1217,6085

Now, list down the factors of 5925

1,3,5,15,25,75,79,237,395,1185,1975,5925

Greatest Common Factor

We found the factors 6085,5925 . The biggest common factor number is the GCF number.
So the greatest common factor 6085,5925 is 5.

Lets's calculate LCM of 381,8728

Lowest Common Multiple of 381,8728 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3325368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3325368

Therefore, the GCF of Fractions 6085/381,5925/8728 is 5/3325368

Least Common Multiple of 381,8728 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 381,8728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,8728) = 1

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

GCF(381,8728) x common factors =1 x 1 = 1

LCM(381,8728) = ( 381 × 8728 ) / 1

LCM(381,8728) = 3325368 / 1

LCM(381,8728) = 3325368

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6085/381, 5925/8728

1. What is the HCF of 6085,5925?

The HCF of 6085,5925 is 5

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 6085/381, 5925/8728?

Answer: GCF of Numerators as per given numbers 6085/381, 5925/8728 is

GCF of Numerators i.e. for 6085,5925 is 5

LCM of denominators i.e. for 381,8728 is 3325368.

Thus, GCF of Fractions is 5/3325368.Finally, GCF of Fractions for 6085/381, 5925/8728 is 5/3325368.