Greatest Common Factor of 8827/104, 3838/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8827/104, 3838/400

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 8827/104,3838/400

Given fractions are 8827/104,3838/400

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 8827,3838

Greatest Common Factor of Numerators i.e. GCF of 8827,3838 is 1 .

LCM of Denominators means LCM of 104,400 as per the given fractions.

LCM of 104,400 is 5200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8827,3838

GCF of Fractions 8827/104,3838/400 is 1/5200

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

Greatest Common Factor of 8827,3838 By Matching Biggest Common Factor Method

Greatest Common Factor of 8827,3838 By Matching Biggest Common Factor Method

Factors of 8827

List of positive integer factors of 8827 that divides 8827 without a remainder.

1,7,13,91,97,679,1261,8827

Factors of 3838

List of positive integer factors of 3838 that divides 3838 without a remainder.

1,2,19,38,101,202,1919,3838

Greatest Common Factor

We found the factors 8827,3838 . The biggest common factor number is the GCF number.
So the greatest common factor 8827,3838 is 1.

Lets's calculate LCM of 104,400

2 104, 400
2 52, 200
2 26, 100
13, 50

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 50 = 5200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5200

Therefore, the GCF of Fractions 8827/104,3838/400 is 1/5200

Least Common Multiple of 104,400 with GCF Formula

Least Common Multiple of 104,400 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 104,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,400) = 8

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

GCF(104,400) x common factors =8 x 1 = 8

LCM(104,400) = ( 104 × 400 ) / 8

LCM(104,400) = 41600 / 8

LCM(104,400) = 5200


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 8827/104, 3838/400

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 8827/104, 3838/400?

Answer: GCF of Numerators as per given numbers 8827/104, 3838/400 is

GCF of Numerators i.e. for 8827,3838 is 1

LCM of denominators i.e. for 104,400 is 5200.

Thus, GCF of Fractions is 1/5200.Finally, GCF of Fractions for 8827/104, 3838/400 is 1/5200.