Greatest Common Factor of 44/996, 1370/3818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/996, 1370/3818

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 44/996,1370/3818

Given fractions are 44/996,1370/3818

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 44,1370

Greatest Common Factor of Numerators i.e. GCF of 44,1370 is 2 .

LCM of Denominators means LCM of 996,3818 as per the given fractions.

LCM of 996,3818 is 22908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,1370

GCF of Fractions 44/996,1370/3818 is 2/22908

2 44, 1370
22, 685

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

Greatest Common Factor of 44,1370 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,1370 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 1370

List of positive integer factors of 1370 that divides 1370 without a remainder.

1,2,5,10,137,274,685,1370

Greatest Common Factor

We found the factors 44,1370 . The biggest common factor number is the GCF number.
So the greatest common factor 44,1370 is 2.

Lets's calculate LCM of 996,3818

2 996, 3818
83 498, 1909
6, 23

∴ So the LCM of the given numbers is 2 x 83 x 6 x 23 = 22908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22908

Therefore, the GCF of Fractions 44/996,1370/3818 is 2/22908

Least Common Multiple of 996,3818 with GCF Formula

Least Common Multiple of 996,3818 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 996,3818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,3818) = 166

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

GCF(996,3818) x common factors =166 x 1 = 166

LCM(996,3818) = ( 996 × 3818 ) / 166

LCM(996,3818) = 3802728 / 166

LCM(996,3818) = 22908


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 44/996, 1370/3818

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 44/996, 1370/3818?

Answer: GCF of Numerators as per given numbers 44/996, 1370/3818 is

GCF of Numerators i.e. for 44,1370 is 2

LCM of denominators i.e. for 996,3818 is 22908.

Thus, GCF of Fractions is 2/22908.Finally, GCF of Fractions for 44/996, 1370/3818 is 2/22908.