Greatest Common Factor of 5526/343, 4519/9800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5526/343, 4519/9800

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 5526/343,4519/9800

Given fractions are 5526/343,4519/9800

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 5526,4519

Greatest Common Factor of Numerators i.e. GCF of 5526,4519 is 1 .

LCM of Denominators means LCM of 343,9800 as per the given fractions.

LCM of 343,9800 is 68600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5526,4519

GCF of Fractions 5526/343,4519/9800 is 1/68600

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

Greatest Common Factor of 5526,4519 By Matching Biggest Common Factor Method

Greatest Common Factor of 5526,4519 By Matching Biggest Common Factor Method

Factors of 5526

List of positive integer factors of 5526 that divides 5526 without a remainder.

1,2,3,6,9,18,307,614,921,1842,2763,5526

Factors of 4519

List of positive integer factors of 4519 that divides 4519 without a remainder.

1,4519

Greatest Common Factor

We found the factors 5526,4519 . The biggest common factor number is the GCF number.
So the greatest common factor 5526,4519 is 1.

Lets's calculate LCM of 343,9800

7 343, 9800
7 49, 1400
7, 200

∴ So the LCM of the given numbers is 7 x 7 x 7 x 200 = 68600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68600

Therefore, the GCF of Fractions 5526/343,4519/9800 is 1/68600

Least Common Multiple of 343,9800 with GCF Formula

Least Common Multiple of 343,9800 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 343,9800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,9800) = 49

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

GCF(343,9800) x common factors =49 x 1 = 49

LCM(343,9800) = ( 343 × 9800 ) / 49

LCM(343,9800) = 3361400 / 49

LCM(343,9800) = 68600


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 5526/343, 4519/9800

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 5526/343, 4519/9800?

Answer: GCF of Numerators as per given numbers 5526/343, 4519/9800 is

GCF of Numerators i.e. for 5526,4519 is 1

LCM of denominators i.e. for 343,9800 is 68600.

Thus, GCF of Fractions is 1/68600.Finally, GCF of Fractions for 5526/343, 4519/9800 is 1/68600.