Greatest Common Factor of 3856/343, 7339/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3856/343, 7339/340

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 3856/343,7339/340

Given fractions are 3856/343,7339/340

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 3856,7339

Greatest Common Factor of Numerators i.e. GCF of 3856,7339 is 1 .

LCM of Denominators means LCM of 343,340 as per the given fractions.

LCM of 343,340 is 116620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3856,7339

GCF of Fractions 3856/343,7339/340 is 1/116620

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

Greatest Common Factor of 3856,7339 By Matching Biggest Common Factor Method

Greatest Common Factor of 3856,7339 By Matching Biggest Common Factor Method

Factors of 3856

List of positive integer factors of 3856 that divides 3856 without a remainder.

1,2,4,8,16,241,482,964,1928,3856

Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1,41,179,7339

Greatest Common Factor

We found the factors 3856,7339 . The biggest common factor number is the GCF number.
So the greatest common factor 3856,7339 is 1.

Lets's calculate LCM of 343,340

Given numbers has no common factors except 1. So, there LCM is their product i.e 116620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116620

Therefore, the GCF of Fractions 3856/343,7339/340 is 1/116620

Least Common Multiple of 343,340 with GCF Formula

Least Common Multiple of 343,340 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 343,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,340) = 1

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

GCF(343,340) x common factors =1 x 1 = 1

LCM(343,340) = ( 343 × 340 ) / 1

LCM(343,340) = 116620 / 1

LCM(343,340) = 116620


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 3856/343, 7339/340

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 3856/343, 7339/340?

Answer: GCF of Numerators as per given numbers 3856/343, 7339/340 is

GCF of Numerators i.e. for 3856,7339 is 1

LCM of denominators i.e. for 343,340 is 116620.

Thus, GCF of Fractions is 1/116620.Finally, GCF of Fractions for 3856/343, 7339/340 is 1/116620.