Greatest Common Factor of 1346/199, 3836/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1346/199, 3836/356

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 1346/199,3836/356

Given fractions are 1346/199,3836/356

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 1346,3836

Greatest Common Factor of Numerators i.e. GCF of 1346,3836 is 2 .

LCM of Denominators means LCM of 199,356 as per the given fractions.

LCM of 199,356 is 70844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1346,3836

GCF of Fractions 1346/199,3836/356 is 2/70844

2 1346, 3836
673, 1918

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

Greatest Common Factor of 1346,3836 By Matching Biggest Common Factor Method

Greatest Common Factor of 1346,3836 By Matching Biggest Common Factor Method

Factors of 1346

List of positive integer factors of 1346 that divides 1346 without a remainder.

1,2,673,1346

Factors of 3836

List of positive integer factors of 3836 that divides 3836 without a remainder.

1,2,4,7,14,28,137,274,548,959,1918,3836

Greatest Common Factor

We found the factors 1346,3836 . The biggest common factor number is the GCF number.
So the greatest common factor 1346,3836 is 2.

Lets's calculate LCM of 199,356

Given numbers has no common factors except 1. So, there LCM is their product i.e 70844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/70844

Therefore, the GCF of Fractions 1346/199,3836/356 is 2/70844

Least Common Multiple of 199,356 with GCF Formula

Least Common Multiple of 199,356 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 199,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,356) = 1

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

GCF(199,356) x common factors =1 x 1 = 1

LCM(199,356) = ( 199 × 356 ) / 1

LCM(199,356) = 70844 / 1

LCM(199,356) = 70844


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 1346/199, 3836/356

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 1346/199, 3836/356?

Answer: GCF of Numerators as per given numbers 1346/199, 3836/356 is

GCF of Numerators i.e. for 1346,3836 is 2

LCM of denominators i.e. for 199,356 is 70844.

Thus, GCF of Fractions is 2/70844.Finally, GCF of Fractions for 1346/199, 3836/356 is 2/70844.