How to Find GCF of 8110/924, 4337/9951?

GCF of 8110/924, 4337/9951

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 8110/924, 4337/9951 i.e 1/3064908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8110/924, 4337/9951.

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 8110/924,4337/9951?

Given fractions are 8110/924,4337/9951

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 8110/924,4337/9951, numerators are 8110,4337

Denominators are 924,9951

The GCF of 8110,4337 is 1 .

LCM of 924,9951 is 3064908.

The greatest common factor of 8110/924,4337/9951 = [GCF of 8110,4337]/[LCM of 924,9951]= 1/3064908

Therefore, the GCF of 8110/924,4337/9951 is 1/3064908.

Greatest Common Factor of 8110,4337

To find the highest common factor of 8110,4337, we have to find the factors of both numbers and list the highest common factor.

The factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110

The factors of 4337 are 1, 4337

The HCF of 8110,4337 is 1.

Lets's calculate GCF of 8110,4337

Greatest Common Factor (GCF) of 8110,4337 By Common Division

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

Greatest Common Factor of 8110,4337 By Matching Biggest Common Factor Method

Now, list down the factors of 8110

1,2,5,10,811,1622,4055,8110

Now, list down the factors of 4337

1,4337

Greatest Common Factor

We found the factors 8110,4337 . The biggest common factor number is the GCF number.
So the greatest common factor 8110,4337 is 1.

Lets's calculate LCM of 924,9951

Lowest Common Multiple of 924,9951 using Common Division

3	924, 9951
	308, 3317

∴ So the LCM of the given numbers is 3 x 308 x 3317 = 3064908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3064908

Therefore, the GCF of Fractions 8110/924,4337/9951 is 1/3064908

Least Common Multiple of 924,9951 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 924,9951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,9951) = 3

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

GCF(924,9951) x common factors =3 x 1 = 3

LCM(924,9951) = ( 924 × 9951 ) / 3

LCM(924,9951) = 9194724 / 3

LCM(924,9951) = 3064908

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FAQs on GCF of Fractions of 8110/924, 4337/9951

1. What is the HCF of 8110,4337?

The HCF of 8110,4337 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 8110/924, 4337/9951?

Answer: GCF of Numerators as per given numbers 8110/924, 4337/9951 is

GCF of Numerators i.e. for 8110,4337 is 1

LCM of denominators i.e. for 924,9951 is 3064908.

Thus, GCF of Fractions is 1/3064908.Finally, GCF of Fractions for 8110/924, 4337/9951 is 1/3064908.