How to Find GCF of 8178/904, 2127/9996?

GCF of 8178/904, 2127/9996

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 8178/904, 2127/9996 i.e 3/2259096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8178/904, 2127/9996.

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 8178/904,2127/9996?

Given fractions are 8178/904,2127/9996

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 8178/904,2127/9996, numerators are 8178,2127

Denominators are 904,9996

The GCF of 8178,2127 is 3 .

LCM of 904,9996 is 2259096.

The greatest common factor of 8178/904,2127/9996 = [GCF of 8178,2127]/[LCM of 904,9996]= 3/2259096

Therefore, the GCF of 8178/904,2127/9996 is 3/2259096.

Greatest Common Factor of 8178,2127

To find the highest common factor of 8178,2127, we have to find the factors of both numbers and list the highest common factor.

The factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178

The factors of 2127 are 1, 3, 709, 2127

The HCF of 8178,2127 is 3.

Lets's calculate GCF of 8178,2127

Greatest Common Factor (GCF) of 8178,2127 By Common Division

3	8178, 2127
	2726, 709

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8178,2127 By Matching Biggest Common Factor Method

Now, list down the factors of 8178

1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178

Now, list down the factors of 2127

1,3,709,2127

Greatest Common Factor

We found the factors 8178,2127 . The biggest common factor number is the GCF number.
So the greatest common factor 8178,2127 is 3.

Lets's calculate LCM of 904,9996

Lowest Common Multiple of 904,9996 using Common Division

2	904, 9996
2	452, 4998
	226, 2499

∴ So the LCM of the given numbers is 2 x 2 x 226 x 2499 = 2259096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2259096

Therefore, the GCF of Fractions 8178/904,2127/9996 is 3/2259096

Least Common Multiple of 904,9996 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 904,9996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,9996) = 4

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

GCF(904,9996) x common factors =4 x 1 = 4

LCM(904,9996) = ( 904 × 9996 ) / 4

LCM(904,9996) = 9036384 / 4

LCM(904,9996) = 2259096

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8178/904, 2127/9996

1. What is the HCF of 8178,2127?

The HCF of 8178,2127 is 3

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 8178/904, 2127/9996?

Answer: GCF of Numerators as per given numbers 8178/904, 2127/9996 is

GCF of Numerators i.e. for 8178,2127 is 3

LCM of denominators i.e. for 904,9996 is 2259096.

Thus, GCF of Fractions is 3/2259096.Finally, GCF of Fractions for 8178/904, 2127/9996 is 3/2259096.