How to Find GCF of 8918/904, 2687/8768?

GCF of 8918/904, 2687/8768

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 8918/904, 2687/8768 i.e 1/990784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8918/904, 2687/8768.

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 8918/904,2687/8768?

Given fractions are 8918/904,2687/8768

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 8918/904,2687/8768, numerators are 8918,2687

Denominators are 904,8768

The GCF of 8918,2687 is 1 .

LCM of 904,8768 is 990784.

The greatest common factor of 8918/904,2687/8768 = [GCF of 8918,2687]/[LCM of 904,8768]= 1/990784

Therefore, the GCF of 8918/904,2687/8768 is 1/990784.

Greatest Common Factor of 8918,2687

To find the highest common factor of 8918,2687, we have to find the factors of both numbers and list the highest common factor.

The factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918

The factors of 2687 are 1, 2687

The HCF of 8918,2687 is 1.

Lets's calculate GCF of 8918,2687

Greatest Common Factor (GCF) of 8918,2687 By Common Division

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

Greatest Common Factor of 8918,2687 By Matching Biggest Common Factor Method

Now, list down the factors of 8918

1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918

Now, list down the factors of 2687

1,2687

Greatest Common Factor

We found the factors 8918,2687 . The biggest common factor number is the GCF number.
So the greatest common factor 8918,2687 is 1.

Lets's calculate LCM of 904,8768

Lowest Common Multiple of 904,8768 using Common Division

2	904, 8768
2	452, 4384
2	226, 2192
	113, 1096

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 1096 = 990784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990784

Therefore, the GCF of Fractions 8918/904,2687/8768 is 1/990784

Least Common Multiple of 904,8768 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 904,8768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,8768) = 8

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

GCF(904,8768) x common factors =8 x 1 = 8

LCM(904,8768) = ( 904 × 8768 ) / 8

LCM(904,8768) = 7926272 / 8

LCM(904,8768) = 990784

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FAQs on GCF of Fractions of 8918/904, 2687/8768

1. What is the HCF of 8918,2687?

The HCF of 8918,2687 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 8918/904, 2687/8768?

Answer: GCF of Numerators as per given numbers 8918/904, 2687/8768 is

GCF of Numerators i.e. for 8918,2687 is 1

LCM of denominators i.e. for 904,8768 is 990784.

Thus, GCF of Fractions is 1/990784.Finally, GCF of Fractions for 8918/904, 2687/8768 is 1/990784.