Greatest Common Factor of 2898/100, 8806/6929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2898/100, 8806/6929

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 2898/100,8806/6929

Given fractions are 2898/100,8806/6929

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 2898,8806

Greatest Common Factor of Numerators i.e. GCF of 2898,8806 is 14 .

LCM of Denominators means LCM of 100,6929 as per the given fractions.

LCM of 100,6929 is 692900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2898,8806

GCF of Fractions 2898/100,8806/6929 is 14/692900

2 2898, 8806
7 1449, 4403
207, 629

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 2898,8806 By Matching Biggest Common Factor Method

Greatest Common Factor of 2898,8806 By Matching Biggest Common Factor Method

Factors of 2898

List of positive integer factors of 2898 that divides 2898 without a remainder.

1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806

Greatest Common Factor

We found the factors 2898,8806 . The biggest common factor number is the GCF number.
So the greatest common factor 2898,8806 is 14.

Lets's calculate LCM of 100,6929

Given numbers has no common factors except 1. So, there LCM is their product i.e 692900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/692900

Therefore, the GCF of Fractions 2898/100,8806/6929 is 14/692900

Least Common Multiple of 100,6929 with GCF Formula

Least Common Multiple of 100,6929 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 100,6929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,6929) = 1

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

GCF(100,6929) x common factors =1 x 1 = 1

LCM(100,6929) = ( 100 × 6929 ) / 1

LCM(100,6929) = 692900 / 1

LCM(100,6929) = 692900


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 2898/100, 8806/6929

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 2898/100, 8806/6929?

Answer: GCF of Numerators as per given numbers 2898/100, 8806/6929 is

GCF of Numerators i.e. for 2898,8806 is 14

LCM of denominators i.e. for 100,6929 is 692900.

Thus, GCF of Fractions is 14/692900.Finally, GCF of Fractions for 2898/100, 8806/6929 is 14/692900.