How to Find GCF of 9919/605, 8142/4549?

GCF of 9919/605, 8142/4549

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 9919/605, 8142/4549 i.e 1/2752145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9919/605, 8142/4549.

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 9919/605,8142/4549?

Given fractions are 9919/605,8142/4549

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 9919/605,8142/4549, numerators are 9919,8142

Denominators are 605,4549

The GCF of 9919,8142 is 1 .

LCM of 605,4549 is 2752145.

The greatest common factor of 9919/605,8142/4549 = [GCF of 9919,8142]/[LCM of 605,4549]= 1/2752145

Therefore, the GCF of 9919/605,8142/4549 is 1/2752145.

Greatest Common Factor of 9919,8142

To find the highest common factor of 9919,8142, we have to find the factors of both numbers and list the highest common factor.

The factors of 9919 are 1, 7, 13, 91, 109, 763, 1417, 9919

The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142

The HCF of 9919,8142 is 1.

Lets's calculate GCF of 9919,8142

Greatest Common Factor (GCF) of 9919,8142 By Common Division

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

Greatest Common Factor of 9919,8142 By Matching Biggest Common Factor Method

Now, list down the factors of 9919

1,7,13,91,109,763,1417,9919

Now, list down the factors of 8142

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors 9919,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 9919,8142 is 1.

Lets's calculate LCM of 605,4549

Lowest Common Multiple of 605,4549 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2752145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2752145

Therefore, the GCF of Fractions 9919/605,8142/4549 is 1/2752145

Least Common Multiple of 605,4549 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 605,4549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,4549) = 1

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

GCF(605,4549) x common factors =1 x 1 = 1

LCM(605,4549) = ( 605 × 4549 ) / 1

LCM(605,4549) = 2752145 / 1

LCM(605,4549) = 2752145

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FAQs on GCF of Fractions of 9919/605, 8142/4549

1. What is the HCF of 9919,8142?

The HCF of 9919,8142 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 9919/605, 8142/4549?

Answer: GCF of Numerators as per given numbers 9919/605, 8142/4549 is

GCF of Numerators i.e. for 9919,8142 is 1

LCM of denominators i.e. for 605,4549 is 2752145.

Thus, GCF of Fractions is 1/2752145.Finally, GCF of Fractions for 9919/605, 8142/4549 is 1/2752145.