How to Find GCF of 8133/799, 1919/3552?

GCF of 8133/799, 1919/3552

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 8133/799, 1919/3552 i.e 1/2838048 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8133/799, 1919/3552.

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 8133/799,1919/3552?

Given fractions are 8133/799,1919/3552

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 8133/799,1919/3552, numerators are 8133,1919

Denominators are 799,3552

The GCF of 8133,1919 is 1 .

LCM of 799,3552 is 2838048.

The greatest common factor of 8133/799,1919/3552 = [GCF of 8133,1919]/[LCM of 799,3552]= 1/2838048

Therefore, the GCF of 8133/799,1919/3552 is 1/2838048.

Greatest Common Factor of 8133,1919

To find the highest common factor of 8133,1919, we have to find the factors of both numbers and list the highest common factor.

The factors of 8133 are 1, 3, 2711, 8133

The factors of 1919 are 1, 19, 101, 1919

The HCF of 8133,1919 is 1.

Lets's calculate GCF of 8133,1919

Greatest Common Factor (GCF) of 8133,1919 By Common Division

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

Greatest Common Factor of 8133,1919 By Matching Biggest Common Factor Method

Now, list down the factors of 8133

1,3,2711,8133

Now, list down the factors of 1919

1,19,101,1919

Greatest Common Factor

We found the factors 8133,1919 . The biggest common factor number is the GCF number.
So the greatest common factor 8133,1919 is 1.

Lets's calculate LCM of 799,3552

Lowest Common Multiple of 799,3552 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2838048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2838048

Therefore, the GCF of Fractions 8133/799,1919/3552 is 1/2838048

Least Common Multiple of 799,3552 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 799,3552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,3552) = 1

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

GCF(799,3552) x common factors =1 x 1 = 1

LCM(799,3552) = ( 799 × 3552 ) / 1

LCM(799,3552) = 2838048 / 1

LCM(799,3552) = 2838048

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FAQs on GCF of Fractions of 8133/799, 1919/3552

1. What is the HCF of 8133,1919?

The HCF of 8133,1919 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 8133/799, 1919/3552?

Answer: GCF of Numerators as per given numbers 8133/799, 1919/3552 is

GCF of Numerators i.e. for 8133,1919 is 1

LCM of denominators i.e. for 799,3552 is 2838048.

Thus, GCF of Fractions is 1/2838048.Finally, GCF of Fractions for 8133/799, 1919/3552 is 1/2838048.