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GCF of 50/278, 8876/8806

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 50/278, 8876/8806 i.e 2/1224034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/278, 8876/8806.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 50/278,8876/8806?

Given fractions are 50/278,8876/8806

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 50/278,8876/8806, numerators are 50,8876

Denominators are 278,8806

The GCF of 50,8876 is 2 .

LCM of 278,8806 is 1224034.

The greatest common factor of 50/278,8876/8806 = [GCF of 50,8876]/[LCM of 278,8806]= 2/1224034

Therefore, the GCF of 50/278,8876/8806 is 2/1224034.

Greatest Common Factor of 50,8876

To find the highest common factor of 50,8876, we have to find the factors of both numbers and list the highest common factor.

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876

The HCF of 50,8876 is 2.

Lets's calculate GCF of 50,8876

Greatest Common Factor (GCF) of 50,8876 By Common Division

2 50, 8876
25, 4438

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

Greatest Common Factor of 50,8876 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,8876 By Matching Biggest Common Factor Method

Now, list down the factors of 50

:

1,2,5,10,25,50

Now, list down the factors of 8876

:

1,2,4,7,14,28,317,634,1268,2219,4438,8876

Greatest Common Factor

We found the factors 50,8876 . The biggest common factor number is the GCF number.
So the greatest common factor 50,8876 is 2.


Lets's calculate LCM of 278,8806

Lowest Common Multiple of 278,8806 using Common Division

2 278, 8806
139, 4403

∴ So the LCM of the given numbers is 2 x 139 x 4403 = 1224034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1224034

Therefore, the GCF of Fractions 50/278,8876/8806 is 2/1224034

Least Common Multiple of 278,8806 with GCF Formula

Least Common Multiple of 278,8806 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 278,8806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,8806) = 2

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

GCF(278,8806) x common factors =2 x 1 = 2

LCM(278,8806) = ( 278 × 8806 ) / 2

LCM(278,8806) = 2448068 / 2

LCM(278,8806) = 1224034


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 50/278, 8876/8806

1. What is the HCF of 50,8876?

The HCF of 50,8876 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 50/278, 8876/8806?

Answer: GCF of Numerators as per given numbers 50/278, 8876/8806 is

GCF of Numerators i.e. for 50,8876 is 2

LCM of denominators i.e. for 278,8806 is 1224034.

Thus, GCF of Fractions is 2/1224034.Finally, GCF of Fractions for 50/278, 8876/8806 is 2/1224034.