Greatest Common Factor of 7978/18, 1424/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7978/18, 1424/922

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 7978/18,1424/922

Given fractions are 7978/18,1424/922

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 7978,1424

Greatest Common Factor of Numerators i.e. GCF of 7978,1424 is 2 .

LCM of Denominators means LCM of 18,922 as per the given fractions.

LCM of 18,922 is 8298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7978,1424

GCF of Fractions 7978/18,1424/922 is 2/8298

2 7978, 1424
3989, 712

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

Greatest Common Factor of 7978,1424 By Matching Biggest Common Factor Method

Greatest Common Factor of 7978,1424 By Matching Biggest Common Factor Method

Factors of 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1,2,3989,7978

Factors of 1424

List of positive integer factors of 1424 that divides 1424 without a remainder.

1,2,4,8,16,89,178,356,712,1424

Greatest Common Factor

We found the factors 7978,1424 . The biggest common factor number is the GCF number.
So the greatest common factor 7978,1424 is 2.

Lets's calculate LCM of 18,922

2 18, 922
9, 461

∴ So the LCM of the given numbers is 2 x 9 x 461 = 8298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8298

Therefore, the GCF of Fractions 7978/18,1424/922 is 2/8298

Least Common Multiple of 18,922 with GCF Formula

Least Common Multiple of 18,922 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 18,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,922) = 2

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

GCF(18,922) x common factors =2 x 1 = 2

LCM(18,922) = ( 18 × 922 ) / 2

LCM(18,922) = 16596 / 2

LCM(18,922) = 8298


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 7978/18, 1424/922

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 7978/18, 1424/922?

Answer: GCF of Numerators as per given numbers 7978/18, 1424/922 is

GCF of Numerators i.e. for 7978,1424 is 2

LCM of denominators i.e. for 18,922 is 8298.

Thus, GCF of Fractions is 2/8298.Finally, GCF of Fractions for 7978/18, 1424/922 is 2/8298.