Greatest Common Factor of 8819/269, 9538/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8819/269, 9538/300

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 8819/269,9538/300

Given fractions are 8819/269,9538/300

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 8819,9538

Greatest Common Factor of Numerators i.e. GCF of 8819,9538 is 1 .

LCM of Denominators means LCM of 269,300 as per the given fractions.

LCM of 269,300 is 80700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8819,9538

GCF of Fractions 8819/269,9538/300 is 1/80700

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

Greatest Common Factor of 8819,9538 By Matching Biggest Common Factor Method

Greatest Common Factor of 8819,9538 By Matching Biggest Common Factor Method

Factors of 8819

List of positive integer factors of 8819 that divides 8819 without a remainder.

1,8819

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1,2,19,38,251,502,4769,9538

Greatest Common Factor

We found the factors 8819,9538 . The biggest common factor number is the GCF number.
So the greatest common factor 8819,9538 is 1.

Lets's calculate LCM of 269,300

Given numbers has no common factors except 1. So, there LCM is their product i.e 80700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80700

Therefore, the GCF of Fractions 8819/269,9538/300 is 1/80700

Least Common Multiple of 269,300 with GCF Formula

Least Common Multiple of 269,300 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 269,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,300) = 1

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

GCF(269,300) x common factors =1 x 1 = 1

LCM(269,300) = ( 269 × 300 ) / 1

LCM(269,300) = 80700 / 1

LCM(269,300) = 80700


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 8819/269, 9538/300

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 8819/269, 9538/300?

Answer: GCF of Numerators as per given numbers 8819/269, 9538/300 is

GCF of Numerators i.e. for 8819,9538 is 1

LCM of denominators i.e. for 269,300 is 80700.

Thus, GCF of Fractions is 1/80700.Finally, GCF of Fractions for 8819/269, 9538/300 is 1/80700.