Greatest Common Factor of 4998/343, 9052/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4998/343, 9052/317

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4998/343,9052/317

Given fractions are 4998/343,9052/317

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4998,9052

Greatest Common Factor of Numerators i.e. GCF of 4998,9052 is 2 .

LCM of Denominators means LCM of 343,317 as per the given fractions.

LCM of 343,317 is 108731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4998,9052

GCF of Fractions 4998/343,9052/317 is 2/108731

2 4998, 9052
2499, 4526

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4998,9052 By Matching Biggest Common Factor Method

Greatest Common Factor of 4998,9052 By Matching Biggest Common Factor Method

Factors of 4998

List of positive integer factors of 4998 that divides 4998 without a remainder.

1,2,3,6,7,14,17,21,34,42,49,51,98,102,119,147,238,294,357,714,833,1666,2499,4998

Factors of 9052

List of positive integer factors of 9052 that divides 9052 without a remainder.

1,2,4,31,62,73,124,146,292,2263,4526,9052

Greatest Common Factor

We found the factors 4998,9052 . The biggest common factor number is the GCF number.
So the greatest common factor 4998,9052 is 2.

Lets's calculate LCM of 343,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 108731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108731

Therefore, the GCF of Fractions 4998/343,9052/317 is 2/108731

Least Common Multiple of 343,317 with GCF Formula

Least Common Multiple of 343,317 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 343,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,317) = 1

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

GCF(343,317) x common factors =1 x 1 = 1

LCM(343,317) = ( 343 × 317 ) / 1

LCM(343,317) = 108731 / 1

LCM(343,317) = 108731


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4998/343, 9052/317

1. 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.

2. What is the GCF of Fractions for 4998/343, 9052/317?

Answer: GCF of Numerators as per given numbers 4998/343, 9052/317 is

GCF of Numerators i.e. for 4998,9052 is 2

LCM of denominators i.e. for 343,317 is 108731.

Thus, GCF of Fractions is 2/108731.Finally, GCF of Fractions for 4998/343, 9052/317 is 2/108731.