Greatest Common Factor of 5143/352, 4219/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5143/352, 4219/347

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 5143/352,4219/347

Given fractions are 5143/352,4219/347

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 5143,4219

Greatest Common Factor of Numerators i.e. GCF of 5143,4219 is 1 .

LCM of Denominators means LCM of 352,347 as per the given fractions.

LCM of 352,347 is 122144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5143,4219

GCF of Fractions 5143/352,4219/347 is 1/122144

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

Greatest Common Factor of 5143,4219 By Matching Biggest Common Factor Method

Greatest Common Factor of 5143,4219 By Matching Biggest Common Factor Method

Factors of 5143

List of positive integer factors of 5143 that divides 5143 without a remainder.

1,37,139,5143

Factors of 4219

List of positive integer factors of 4219 that divides 4219 without a remainder.

1,4219

Greatest Common Factor

We found the factors 5143,4219 . The biggest common factor number is the GCF number.
So the greatest common factor 5143,4219 is 1.

Lets's calculate LCM of 352,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 122144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122144

Therefore, the GCF of Fractions 5143/352,4219/347 is 1/122144

Least Common Multiple of 352,347 with GCF Formula

Least Common Multiple of 352,347 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 352,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,347) = 1

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

GCF(352,347) x common factors =1 x 1 = 1

LCM(352,347) = ( 352 × 347 ) / 1

LCM(352,347) = 122144 / 1

LCM(352,347) = 122144


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 5143/352, 4219/347

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 5143/352, 4219/347?

Answer: GCF of Numerators as per given numbers 5143/352, 4219/347 is

GCF of Numerators i.e. for 5143,4219 is 1

LCM of denominators i.e. for 352,347 is 122144.

Thus, GCF of Fractions is 1/122144.Finally, GCF of Fractions for 5143/352, 4219/347 is 1/122144.