Greatest Common Factor of 2462/241, 2648/6888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2462/241, 2648/6888

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 2462/241,2648/6888

Given fractions are 2462/241,2648/6888

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 2462,2648

Greatest Common Factor of Numerators i.e. GCF of 2462,2648 is 2 .

LCM of Denominators means LCM of 241,6888 as per the given fractions.

LCM of 241,6888 is 1660008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2462,2648

GCF of Fractions 2462/241,2648/6888 is 2/1660008

2 2462, 2648
1231, 1324

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

Greatest Common Factor of 2462,2648 By Matching Biggest Common Factor Method

Greatest Common Factor of 2462,2648 By Matching Biggest Common Factor Method

Factors of 2462

List of positive integer factors of 2462 that divides 2462 without a remainder.

1,2,1231,2462

Factors of 2648

List of positive integer factors of 2648 that divides 2648 without a remainder.

1,2,4,8,331,662,1324,2648

Greatest Common Factor

We found the factors 2462,2648 . The biggest common factor number is the GCF number.
So the greatest common factor 2462,2648 is 2.

Lets's calculate LCM of 241,6888

Given numbers has no common factors except 1. So, there LCM is their product i.e 1660008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1660008

Therefore, the GCF of Fractions 2462/241,2648/6888 is 2/1660008

Least Common Multiple of 241,6888 with GCF Formula

Least Common Multiple of 241,6888 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 241,6888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,6888) = 1

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

GCF(241,6888) x common factors =1 x 1 = 1

LCM(241,6888) = ( 241 × 6888 ) / 1

LCM(241,6888) = 1660008 / 1

LCM(241,6888) = 1660008


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 2462/241, 2648/6888

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 2462/241, 2648/6888?

Answer: GCF of Numerators as per given numbers 2462/241, 2648/6888 is

GCF of Numerators i.e. for 2462,2648 is 2

LCM of denominators i.e. for 241,6888 is 1660008.

Thus, GCF of Fractions is 2/1660008.Finally, GCF of Fractions for 2462/241, 2648/6888 is 2/1660008.