Greatest Common Factor of 2911/438, 8194/6980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2911/438, 8194/6980

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 2911/438,8194/6980

Given fractions are 2911/438,8194/6980

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 2911,8194

Greatest Common Factor of Numerators i.e. GCF of 2911,8194 is 1 .

LCM of Denominators means LCM of 438,6980 as per the given fractions.

LCM of 438,6980 is 1528620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2911,8194

GCF of Fractions 2911/438,8194/6980 is 1/1528620

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

Greatest Common Factor of 2911,8194 By Matching Biggest Common Factor Method

Greatest Common Factor of 2911,8194 By Matching Biggest Common Factor Method

Factors of 2911

List of positive integer factors of 2911 that divides 2911 without a remainder.

1,41,71,2911

Factors of 8194

List of positive integer factors of 8194 that divides 8194 without a remainder.

1,2,17,34,241,482,4097,8194

Greatest Common Factor

We found the factors 2911,8194 . The biggest common factor number is the GCF number.
So the greatest common factor 2911,8194 is 1.

Lets's calculate LCM of 438,6980

2 438, 6980
219, 3490

∴ So the LCM of the given numbers is 2 x 219 x 3490 = 1528620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1528620

Therefore, the GCF of Fractions 2911/438,8194/6980 is 1/1528620

Least Common Multiple of 438,6980 with GCF Formula

Least Common Multiple of 438,6980 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 438,6980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,6980) = 2

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

GCF(438,6980) x common factors =2 x 1 = 2

LCM(438,6980) = ( 438 × 6980 ) / 2

LCM(438,6980) = 3057240 / 2

LCM(438,6980) = 1528620


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 2911/438, 8194/6980

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 2911/438, 8194/6980?

Answer: GCF of Numerators as per given numbers 2911/438, 8194/6980 is

GCF of Numerators i.e. for 2911,8194 is 1

LCM of denominators i.e. for 438,6980 is 1528620.

Thus, GCF of Fractions is 1/1528620.Finally, GCF of Fractions for 2911/438, 8194/6980 is 1/1528620.