How to Find GCF of 8888/760, 9127/8700?

GCF of 8888/760, 9127/8700

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 8888/760, 9127/8700 i.e 1/330600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8888/760, 9127/8700.

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 8888/760,9127/8700?

Given fractions are 8888/760,9127/8700

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 8888/760,9127/8700, numerators are 8888,9127

Denominators are 760,8700

The GCF of 8888,9127 is 1 .

LCM of 760,8700 is 330600.

The greatest common factor of 8888/760,9127/8700 = [GCF of 8888,9127]/[LCM of 760,8700]= 1/330600

Therefore, the GCF of 8888/760,9127/8700 is 1/330600.

Greatest Common Factor of 8888,9127

To find the highest common factor of 8888,9127, we have to find the factors of both numbers and list the highest common factor.

The factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888

The factors of 9127 are 1, 9127

The HCF of 8888,9127 is 1.

Lets's calculate GCF of 8888,9127

Greatest Common Factor (GCF) of 8888,9127 By Common Division

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

Greatest Common Factor of 8888,9127 By Matching Biggest Common Factor Method

Now, list down the factors of 8888

1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888

Now, list down the factors of 9127

1,9127

Greatest Common Factor

We found the factors 8888,9127 . The biggest common factor number is the GCF number.
So the greatest common factor 8888,9127 is 1.

Lets's calculate LCM of 760,8700

Lowest Common Multiple of 760,8700 using Common Division

2	760, 8700
2	380, 4350
5	190, 2175
	38, 435

∴ So the LCM of the given numbers is 2 x 2 x 5 x 38 x 435 = 330600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330600

Therefore, the GCF of Fractions 8888/760,9127/8700 is 1/330600

Least Common Multiple of 760,8700 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 760,8700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,8700) = 20

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

GCF(760,8700) x common factors =20 x 1 = 20

LCM(760,8700) = ( 760 × 8700 ) / 20

LCM(760,8700) = 6612000 / 20

LCM(760,8700) = 330600

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FAQs on GCF of Fractions of 8888/760, 9127/8700

1. What is the HCF of 8888,9127?

The HCF of 8888,9127 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 8888/760, 9127/8700?

Answer: GCF of Numerators as per given numbers 8888/760, 9127/8700 is

GCF of Numerators i.e. for 8888,9127 is 1

LCM of denominators i.e. for 760,8700 is 330600.

Thus, GCF of Fractions is 1/330600.Finally, GCF of Fractions for 8888/760, 9127/8700 is 1/330600.