How to Find GCF of 8885/304, 3688/8766?

GCF of 8885/304, 3688/8766

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 8885/304, 3688/8766 i.e 1/1332432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8885/304, 3688/8766.

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 8885/304,3688/8766?

Given fractions are 8885/304,3688/8766

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 8885/304,3688/8766, numerators are 8885,3688

Denominators are 304,8766

The GCF of 8885,3688 is 1 .

LCM of 304,8766 is 1332432.

The greatest common factor of 8885/304,3688/8766 = [GCF of 8885,3688]/[LCM of 304,8766]= 1/1332432

Therefore, the GCF of 8885/304,3688/8766 is 1/1332432.

Greatest Common Factor of 8885,3688

To find the highest common factor of 8885,3688, we have to find the factors of both numbers and list the highest common factor.

The factors of 8885 are 1, 5, 1777, 8885

The factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688

The HCF of 8885,3688 is 1.

Lets's calculate GCF of 8885,3688

Greatest Common Factor (GCF) of 8885,3688 By Common Division

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

Greatest Common Factor of 8885,3688 By Matching Biggest Common Factor Method

Now, list down the factors of 8885

1,5,1777,8885

Now, list down the factors of 3688

1,2,4,8,461,922,1844,3688

Greatest Common Factor

We found the factors 8885,3688 . The biggest common factor number is the GCF number.
So the greatest common factor 8885,3688 is 1.

Lets's calculate LCM of 304,8766

Lowest Common Multiple of 304,8766 using Common Division

2	304, 8766
	152, 4383

∴ So the LCM of the given numbers is 2 x 152 x 4383 = 1332432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1332432

Therefore, the GCF of Fractions 8885/304,3688/8766 is 1/1332432

Least Common Multiple of 304,8766 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 304,8766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,8766) = 2

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

GCF(304,8766) x common factors =2 x 1 = 2

LCM(304,8766) = ( 304 × 8766 ) / 2

LCM(304,8766) = 2664864 / 2

LCM(304,8766) = 1332432

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FAQs on GCF of Fractions of 8885/304, 3688/8766

1. What is the HCF of 8885,3688?

The HCF of 8885,3688 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 8885/304, 3688/8766?

Answer: GCF of Numerators as per given numbers 8885/304, 3688/8766 is

GCF of Numerators i.e. for 8885,3688 is 1

LCM of denominators i.e. for 304,8766 is 1332432.

Thus, GCF of Fractions is 1/1332432.Finally, GCF of Fractions for 8885/304, 3688/8766 is 1/1332432.