Greatest Common Factor of 7718/18, 2503/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7718/18, 2503/138

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 7718/18,2503/138

Given fractions are 7718/18,2503/138

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 7718,2503

Greatest Common Factor of Numerators i.e. GCF of 7718,2503 is 1 .

LCM of Denominators means LCM of 18,138 as per the given fractions.

LCM of 18,138 is 414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7718,2503

GCF of Fractions 7718/18,2503/138 is 1/414

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

Greatest Common Factor of 7718,2503 By Matching Biggest Common Factor Method

Greatest Common Factor of 7718,2503 By Matching Biggest Common Factor Method

Factors of 7718

List of positive integer factors of 7718 that divides 7718 without a remainder.

1,2,17,34,227,454,3859,7718

Factors of 2503

List of positive integer factors of 2503 that divides 2503 without a remainder.

1,2503

Greatest Common Factor

We found the factors 7718,2503 . The biggest common factor number is the GCF number.
So the greatest common factor 7718,2503 is 1.

Lets's calculate LCM of 18,138

2 18, 138
3 9, 69
3, 23

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 = 414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414

Therefore, the GCF of Fractions 7718/18,2503/138 is 1/414

Least Common Multiple of 18,138 with GCF Formula

Least Common Multiple of 18,138 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 18,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,138) = 6

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

GCF(18,138) x common factors =6 x 1 = 6

LCM(18,138) = ( 18 × 138 ) / 6

LCM(18,138) = 2484 / 6

LCM(18,138) = 414


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 7718/18, 2503/138

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 7718/18, 2503/138?

Answer: GCF of Numerators as per given numbers 7718/18, 2503/138 is

GCF of Numerators i.e. for 7718,2503 is 1

LCM of denominators i.e. for 18,138 is 414.

Thus, GCF of Fractions is 1/414.Finally, GCF of Fractions for 7718/18, 2503/138 is 1/414.