Greatest Common Factor of 4953/276, 8219/3443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4953/276, 8219/3443

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 4953/276,8219/3443

Given fractions are 4953/276,8219/3443

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 4953,8219

Greatest Common Factor of Numerators i.e. GCF of 4953,8219 is 1 .

LCM of Denominators means LCM of 276,3443 as per the given fractions.

LCM of 276,3443 is 950268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4953,8219

GCF of Fractions 4953/276,8219/3443 is 1/950268

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

Greatest Common Factor of 4953,8219 By Matching Biggest Common Factor Method

Greatest Common Factor of 4953,8219 By Matching Biggest Common Factor Method

Factors of 4953

List of positive integer factors of 4953 that divides 4953 without a remainder.

1,3,13,39,127,381,1651,4953

Factors of 8219

List of positive integer factors of 8219 that divides 8219 without a remainder.

1,8219

Greatest Common Factor

We found the factors 4953,8219 . The biggest common factor number is the GCF number.
So the greatest common factor 4953,8219 is 1.

Lets's calculate LCM of 276,3443

Given numbers has no common factors except 1. So, there LCM is their product i.e 950268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/950268

Therefore, the GCF of Fractions 4953/276,8219/3443 is 1/950268

Least Common Multiple of 276,3443 with GCF Formula

Least Common Multiple of 276,3443 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 276,3443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,3443) = 1

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

GCF(276,3443) x common factors =1 x 1 = 1

LCM(276,3443) = ( 276 × 3443 ) / 1

LCM(276,3443) = 950268 / 1

LCM(276,3443) = 950268


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 4953/276, 8219/3443

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 4953/276, 8219/3443?

Answer: GCF of Numerators as per given numbers 4953/276, 8219/3443 is

GCF of Numerators i.e. for 4953,8219 is 1

LCM of denominators i.e. for 276,3443 is 950268.

Thus, GCF of Fractions is 1/950268.Finally, GCF of Fractions for 4953/276, 8219/3443 is 1/950268.