How to Find GCF of 38/884, 8047/8833?

GCF of 38/884, 8047/8833

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 38/884, 8047/8833 i.e 1/7808372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/884, 8047/8833.

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 38/884,8047/8833?

Given fractions are 38/884,8047/8833

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 38/884,8047/8833, numerators are 38,8047

Denominators are 884,8833

The GCF of 38,8047 is 1 .

LCM of 884,8833 is 7808372.

The greatest common factor of 38/884,8047/8833 = [GCF of 38,8047]/[LCM of 884,8833]= 1/7808372

Therefore, the GCF of 38/884,8047/8833 is 1/7808372.

Greatest Common Factor of 38,8047

To find the highest common factor of 38,8047, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 8047 are 1, 13, 619, 8047

The HCF of 38,8047 is 1.

Lets's calculate GCF of 38,8047

Greatest Common Factor (GCF) of 38,8047 By Common Division

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

Greatest Common Factor of 38,8047 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 8047

1,13,619,8047

Greatest Common Factor

We found the factors 38,8047 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8047 is 1.

Lets's calculate LCM of 884,8833

Lowest Common Multiple of 884,8833 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7808372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7808372

Therefore, the GCF of Fractions 38/884,8047/8833 is 1/7808372

Least Common Multiple of 884,8833 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 884,8833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(884,8833) = 1

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

GCF(884,8833) x common factors =1 x 1 = 1

LCM(884,8833) = ( 884 × 8833 ) / 1

LCM(884,8833) = 7808372 / 1

LCM(884,8833) = 7808372

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 38/884, 8047/8833

1. What is the HCF of 38,8047?

The HCF of 38,8047 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 38/884, 8047/8833?

Answer: GCF of Numerators as per given numbers 38/884, 8047/8833 is

GCF of Numerators i.e. for 38,8047 is 1

LCM of denominators i.e. for 884,8833 is 7808372.

Thus, GCF of Fractions is 1/7808372.Finally, GCF of Fractions for 38/884, 8047/8833 is 1/7808372.