Greatest Common Factor of 1298/996, 3837/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1298/996, 3837/424

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 1298/996,3837/424

Given fractions are 1298/996,3837/424

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 1298,3837

Greatest Common Factor of Numerators i.e. GCF of 1298,3837 is 1 .

LCM of Denominators means LCM of 996,424 as per the given fractions.

LCM of 996,424 is 105576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1298,3837

GCF of Fractions 1298/996,3837/424 is 1/105576

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

Greatest Common Factor of 1298,3837 By Matching Biggest Common Factor Method

Greatest Common Factor of 1298,3837 By Matching Biggest Common Factor Method

Factors of 1298

List of positive integer factors of 1298 that divides 1298 without a remainder.

1,2,11,22,59,118,649,1298

Factors of 3837

List of positive integer factors of 3837 that divides 3837 without a remainder.

1,3,1279,3837

Greatest Common Factor

We found the factors 1298,3837 . The biggest common factor number is the GCF number.
So the greatest common factor 1298,3837 is 1.

Lets's calculate LCM of 996,424

2 996, 424
2 498, 212
249, 106

∴ So the LCM of the given numbers is 2 x 2 x 249 x 106 = 105576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105576

Therefore, the GCF of Fractions 1298/996,3837/424 is 1/105576

Least Common Multiple of 996,424 with GCF Formula

Least Common Multiple of 996,424 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 996,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,424) = 4

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

GCF(996,424) x common factors =4 x 1 = 4

LCM(996,424) = ( 996 × 424 ) / 4

LCM(996,424) = 422304 / 4

LCM(996,424) = 105576


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 1298/996, 3837/424

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 1298/996, 3837/424?

Answer: GCF of Numerators as per given numbers 1298/996, 3837/424 is

GCF of Numerators i.e. for 1298,3837 is 1

LCM of denominators i.e. for 996,424 is 105576.

Thus, GCF of Fractions is 1/105576.Finally, GCF of Fractions for 1298/996, 3837/424 is 1/105576.