How to Find GCF of 8891/422, 9376/5711?

GCF of 8891/422, 9376/5711

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 8891/422, 9376/5711 i.e 1/2410042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8891/422, 9376/5711.

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 8891/422,9376/5711?

Given fractions are 8891/422,9376/5711

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 8891/422,9376/5711, numerators are 8891,9376

Denominators are 422,5711

The GCF of 8891,9376 is 1 .

LCM of 422,5711 is 2410042.

The greatest common factor of 8891/422,9376/5711 = [GCF of 8891,9376]/[LCM of 422,5711]= 1/2410042

Therefore, the GCF of 8891/422,9376/5711 is 1/2410042.

Greatest Common Factor of 8891,9376

To find the highest common factor of 8891,9376, we have to find the factors of both numbers and list the highest common factor.

The factors of 8891 are 1, 17, 523, 8891

The factors of 9376 are 1, 2, 4, 8, 16, 32, 293, 586, 1172, 2344, 4688, 9376

The HCF of 8891,9376 is 1.

Lets's calculate GCF of 8891,9376

Greatest Common Factor (GCF) of 8891,9376 By Common Division

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

Greatest Common Factor of 8891,9376 By Matching Biggest Common Factor Method

Now, list down the factors of 8891

1,17,523,8891

Now, list down the factors of 9376

1,2,4,8,16,32,293,586,1172,2344,4688,9376

Greatest Common Factor

We found the factors 8891,9376 . The biggest common factor number is the GCF number.
So the greatest common factor 8891,9376 is 1.

Lets's calculate LCM of 422,5711

Lowest Common Multiple of 422,5711 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2410042

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2410042

Therefore, the GCF of Fractions 8891/422,9376/5711 is 1/2410042

Least Common Multiple of 422,5711 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 422,5711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,5711) = 1

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

GCF(422,5711) x common factors =1 x 1 = 1

LCM(422,5711) = ( 422 × 5711 ) / 1

LCM(422,5711) = 2410042 / 1

LCM(422,5711) = 2410042

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FAQs on GCF of Fractions of 8891/422, 9376/5711

1. What is the HCF of 8891,9376?

The HCF of 8891,9376 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 8891/422, 9376/5711?

Answer: GCF of Numerators as per given numbers 8891/422, 9376/5711 is

GCF of Numerators i.e. for 8891,9376 is 1

LCM of denominators i.e. for 422,5711 is 2410042.

Thus, GCF of Fractions is 1/2410042.Finally, GCF of Fractions for 8891/422, 9376/5711 is 1/2410042.