Greatest Common Factor of 8903/281, 1535/8717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8903/281, 1535/8717

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 8903/281,1535/8717

Given fractions are 8903/281,1535/8717

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 8903,1535

Greatest Common Factor of Numerators i.e. GCF of 8903,1535 is 307 .

LCM of Denominators means LCM of 281,8717 as per the given fractions.

LCM of 281,8717 is 2449477 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8903,1535

GCF of Fractions 8903/281,1535/8717 is 307/2449477

307 8903, 1535
29, 5

∴ So the GCF of the given numbers is 307 = 307

Greatest Common Factor of 8903,1535 By Matching Biggest Common Factor Method

Greatest Common Factor of 8903,1535 By Matching Biggest Common Factor Method

Factors of 8903

List of positive integer factors of 8903 that divides 8903 without a remainder.

1,29,307,8903

Factors of 1535

List of positive integer factors of 1535 that divides 1535 without a remainder.

1,5,307,1535

Greatest Common Factor

We found the factors 8903,1535 . The biggest common factor number is the GCF number.
So the greatest common factor 8903,1535 is 307.

Lets's calculate LCM of 281,8717

Given numbers has no common factors except 1. So, there LCM is their product i.e 2449477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 307/2449477

Therefore, the GCF of Fractions 8903/281,1535/8717 is 307/2449477

Least Common Multiple of 281,8717 with GCF Formula

Least Common Multiple of 281,8717 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 281,8717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(281,8717) = 1

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

GCF(281,8717) x common factors =1 x 1 = 1

LCM(281,8717) = ( 281 × 8717 ) / 1

LCM(281,8717) = 2449477 / 1

LCM(281,8717) = 2449477


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 8903/281, 1535/8717

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 8903/281, 1535/8717?

Answer: GCF of Numerators as per given numbers 8903/281, 1535/8717 is

GCF of Numerators i.e. for 8903,1535 is 307

LCM of denominators i.e. for 281,8717 is 2449477.

Thus, GCF of Fractions is 307/2449477.Finally, GCF of Fractions for 8903/281, 1535/8717 is 307/2449477.