How to Find GCF of 8278/146, 2806/3752?

GCF of 8278/146, 2806/3752

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 8278/146, 2806/3752 i.e 2/273896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8278/146, 2806/3752.

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 8278/146,2806/3752?

Given fractions are 8278/146,2806/3752

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 8278/146,2806/3752, numerators are 8278,2806

Denominators are 146,3752

The GCF of 8278,2806 is 2 .

LCM of 146,3752 is 273896.

The greatest common factor of 8278/146,2806/3752 = [GCF of 8278,2806]/[LCM of 146,3752]= 2/273896

Therefore, the GCF of 8278/146,2806/3752 is 2/273896.

Greatest Common Factor of 8278,2806

To find the highest common factor of 8278,2806, we have to find the factors of both numbers and list the highest common factor.

The factors of 8278 are 1, 2, 4139, 8278

The factors of 2806 are 1, 2, 23, 46, 61, 122, 1403, 2806

The HCF of 8278,2806 is 2.

Lets's calculate GCF of 8278,2806

Greatest Common Factor (GCF) of 8278,2806 By Common Division

2	8278, 2806
	4139, 1403

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8278,2806 By Matching Biggest Common Factor Method

Now, list down the factors of 8278

1,2,4139,8278

Now, list down the factors of 2806

1,2,23,46,61,122,1403,2806

Greatest Common Factor

We found the factors 8278,2806 . The biggest common factor number is the GCF number.
So the greatest common factor 8278,2806 is 2.

Lets's calculate LCM of 146,3752

Lowest Common Multiple of 146,3752 using Common Division

2	146, 3752
	73, 1876

∴ So the LCM of the given numbers is 2 x 73 x 1876 = 273896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/273896

Therefore, the GCF of Fractions 8278/146,2806/3752 is 2/273896

Least Common Multiple of 146,3752 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 146,3752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,3752) = 2

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

GCF(146,3752) x common factors =2 x 1 = 2

LCM(146,3752) = ( 146 × 3752 ) / 2

LCM(146,3752) = 547792 / 2

LCM(146,3752) = 273896

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FAQs on GCF of Fractions of 8278/146, 2806/3752

1. What is the HCF of 8278,2806?

The HCF of 8278,2806 is 2

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 8278/146, 2806/3752?

Answer: GCF of Numerators as per given numbers 8278/146, 2806/3752 is

GCF of Numerators i.e. for 8278,2806 is 2

LCM of denominators i.e. for 146,3752 is 273896.

Thus, GCF of Fractions is 2/273896.Finally, GCF of Fractions for 8278/146, 2806/3752 is 2/273896.