How to Find GCF of 4879/307, 9917/8498?

GCF of 4879/307, 9917/8498

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 4879/307, 9917/8498 i.e 1/2608886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4879/307, 9917/8498.

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 4879/307,9917/8498?

Given fractions are 4879/307,9917/8498

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 4879/307,9917/8498, numerators are 4879,9917

Denominators are 307,8498

The GCF of 4879,9917 is 1 .

LCM of 307,8498 is 2608886.

The greatest common factor of 4879/307,9917/8498 = [GCF of 4879,9917]/[LCM of 307,8498]= 1/2608886

Therefore, the GCF of 4879/307,9917/8498 is 1/2608886.

Greatest Common Factor of 4879,9917

To find the highest common factor of 4879,9917, we have to find the factors of both numbers and list the highest common factor.

The factors of 4879 are 1, 7, 17, 41, 119, 287, 697, 4879

The factors of 9917 are 1, 47, 211, 9917

The HCF of 4879,9917 is 1.

Lets's calculate GCF of 4879,9917

Greatest Common Factor (GCF) of 4879,9917 By Common Division

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

Greatest Common Factor of 4879,9917 By Matching Biggest Common Factor Method

Now, list down the factors of 4879

1,7,17,41,119,287,697,4879

Now, list down the factors of 9917

1,47,211,9917

Greatest Common Factor

We found the factors 4879,9917 . The biggest common factor number is the GCF number.
So the greatest common factor 4879,9917 is 1.

Lets's calculate LCM of 307,8498

Lowest Common Multiple of 307,8498 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2608886

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2608886

Therefore, the GCF of Fractions 4879/307,9917/8498 is 1/2608886

Least Common Multiple of 307,8498 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 307,8498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,8498) = 1

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

GCF(307,8498) x common factors =1 x 1 = 1

LCM(307,8498) = ( 307 × 8498 ) / 1

LCM(307,8498) = 2608886 / 1

LCM(307,8498) = 2608886

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FAQs on GCF of Fractions of 4879/307, 9917/8498

1. What is the HCF of 4879,9917?

The HCF of 4879,9917 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 4879/307, 9917/8498?

Answer: GCF of Numerators as per given numbers 4879/307, 9917/8498 is

GCF of Numerators i.e. for 4879,9917 is 1

LCM of denominators i.e. for 307,8498 is 2608886.

Thus, GCF of Fractions is 1/2608886.Finally, GCF of Fractions for 4879/307, 9917/8498 is 1/2608886.