How to Find GCF of 8776/878, 4905/3455?

GCF of 8776/878, 4905/3455

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 8776/878, 4905/3455 i.e 1/3033490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8776/878, 4905/3455.

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 8776/878,4905/3455?

Given fractions are 8776/878,4905/3455

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 8776/878,4905/3455, numerators are 8776,4905

Denominators are 878,3455

The GCF of 8776,4905 is 1 .

LCM of 878,3455 is 3033490.

The greatest common factor of 8776/878,4905/3455 = [GCF of 8776,4905]/[LCM of 878,3455]= 1/3033490

Therefore, the GCF of 8776/878,4905/3455 is 1/3033490.

Greatest Common Factor of 8776,4905

To find the highest common factor of 8776,4905, we have to find the factors of both numbers and list the highest common factor.

The factors of 8776 are 1, 2, 4, 8, 1097, 2194, 4388, 8776

The factors of 4905 are 1, 3, 5, 9, 15, 45, 109, 327, 545, 981, 1635, 4905

The HCF of 8776,4905 is 1.

Lets's calculate GCF of 8776,4905

Greatest Common Factor (GCF) of 8776,4905 By Common Division

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

Greatest Common Factor of 8776,4905 By Matching Biggest Common Factor Method

Now, list down the factors of 8776

1,2,4,8,1097,2194,4388,8776

Now, list down the factors of 4905

1,3,5,9,15,45,109,327,545,981,1635,4905

Greatest Common Factor

We found the factors 8776,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 8776,4905 is 1.

Lets's calculate LCM of 878,3455

Lowest Common Multiple of 878,3455 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3033490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3033490

Therefore, the GCF of Fractions 8776/878,4905/3455 is 1/3033490

Least Common Multiple of 878,3455 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 878,3455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,3455) = 1

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

GCF(878,3455) x common factors =1 x 1 = 1

LCM(878,3455) = ( 878 × 3455 ) / 1

LCM(878,3455) = 3033490 / 1

LCM(878,3455) = 3033490

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FAQs on GCF of Fractions of 8776/878, 4905/3455

1. What is the HCF of 8776,4905?

The HCF of 8776,4905 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 8776/878, 4905/3455?

Answer: GCF of Numerators as per given numbers 8776/878, 4905/3455 is

GCF of Numerators i.e. for 8776,4905 is 1

LCM of denominators i.e. for 878,3455 is 3033490.

Thus, GCF of Fractions is 1/3033490.Finally, GCF of Fractions for 8776/878, 4905/3455 is 1/3033490.