Greatest Common Factor of 6270/242, 6798/4833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6270/242, 6798/4833

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 6270/242,6798/4833

Given fractions are 6270/242,6798/4833

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 6270,6798

Greatest Common Factor of Numerators i.e. GCF of 6270,6798 is 66 .

LCM of Denominators means LCM of 242,4833 as per the given fractions.

LCM of 242,4833 is 1169586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6270,6798

GCF of Fractions 6270/242,6798/4833 is 66/1169586

2 6270, 6798
3 3135, 3399
11 1045, 1133
95, 103

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Greatest Common Factor of 6270,6798 By Matching Biggest Common Factor Method

Greatest Common Factor of 6270,6798 By Matching Biggest Common Factor Method

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270

Factors of 6798

List of positive integer factors of 6798 that divides 6798 without a remainder.

1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798

Greatest Common Factor

We found the factors 6270,6798 . The biggest common factor number is the GCF number.
So the greatest common factor 6270,6798 is 66.

Lets's calculate LCM of 242,4833

Given numbers has no common factors except 1. So, there LCM is their product i.e 1169586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/1169586

Therefore, the GCF of Fractions 6270/242,6798/4833 is 66/1169586

Least Common Multiple of 242,4833 with GCF Formula

Least Common Multiple of 242,4833 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 242,4833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,4833) = 1

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

GCF(242,4833) x common factors =1 x 1 = 1

LCM(242,4833) = ( 242 × 4833 ) / 1

LCM(242,4833) = 1169586 / 1

LCM(242,4833) = 1169586


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 6270/242, 6798/4833

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 6270/242, 6798/4833?

Answer: GCF of Numerators as per given numbers 6270/242, 6798/4833 is

GCF of Numerators i.e. for 6270,6798 is 66

LCM of denominators i.e. for 242,4833 is 1169586.

Thus, GCF of Fractions is 66/1169586.Finally, GCF of Fractions for 6270/242, 6798/4833 is 66/1169586.