How to Find GCF of 8004/380, 4723/6889?

GCF of 8004/380, 4723/6889

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 8004/380, 4723/6889 i.e 1/2617820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8004/380, 4723/6889.

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 8004/380,4723/6889?

Given fractions are 8004/380,4723/6889

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 8004/380,4723/6889, numerators are 8004,4723

Denominators are 380,6889

The GCF of 8004,4723 is 1 .

LCM of 380,6889 is 2617820.

The greatest common factor of 8004/380,4723/6889 = [GCF of 8004,4723]/[LCM of 380,6889]= 1/2617820

Therefore, the GCF of 8004/380,4723/6889 is 1/2617820.

Greatest Common Factor of 8004,4723

To find the highest common factor of 8004,4723, we have to find the factors of both numbers and list the highest common factor.

The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004

The factors of 4723 are 1, 4723

The HCF of 8004,4723 is 1.

Lets's calculate GCF of 8004,4723

Greatest Common Factor (GCF) of 8004,4723 By Common Division

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

Greatest Common Factor of 8004,4723 By Matching Biggest Common Factor Method

Now, list down the factors of 8004

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Now, list down the factors of 4723

1,4723

Greatest Common Factor

We found the factors 8004,4723 . The biggest common factor number is the GCF number.
So the greatest common factor 8004,4723 is 1.

Lets's calculate LCM of 380,6889

Lowest Common Multiple of 380,6889 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2617820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2617820

Therefore, the GCF of Fractions 8004/380,4723/6889 is 1/2617820

Least Common Multiple of 380,6889 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 380,6889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,6889) = 1

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

GCF(380,6889) x common factors =1 x 1 = 1

LCM(380,6889) = ( 380 × 6889 ) / 1

LCM(380,6889) = 2617820 / 1

LCM(380,6889) = 2617820

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8004/380, 4723/6889

1. What is the HCF of 8004,4723?

The HCF of 8004,4723 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 8004/380, 4723/6889?

Answer: GCF of Numerators as per given numbers 8004/380, 4723/6889 is

GCF of Numerators i.e. for 8004,4723 is 1

LCM of denominators i.e. for 380,6889 is 2617820.

Thus, GCF of Fractions is 1/2617820.Finally, GCF of Fractions for 8004/380, 4723/6889 is 1/2617820.