Greatest Common Factor of 9898/903, 2071/3601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9898/903, 2071/3601

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 9898/903,2071/3601

Given fractions are 9898/903,2071/3601

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 9898,2071

Greatest Common Factor of Numerators i.e. GCF of 9898,2071 is 1 .

LCM of Denominators means LCM of 903,3601 as per the given fractions.

LCM of 903,3601 is 3251703 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9898,2071

GCF of Fractions 9898/903,2071/3601 is 1/3251703

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

Greatest Common Factor of 9898,2071 By Matching Biggest Common Factor Method

Greatest Common Factor of 9898,2071 By Matching Biggest Common Factor Method

Factors of 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1,2,7,14,49,98,101,202,707,1414,4949,9898

Factors of 2071

List of positive integer factors of 2071 that divides 2071 without a remainder.

1,19,109,2071

Greatest Common Factor

We found the factors 9898,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 9898,2071 is 1.

Lets's calculate LCM of 903,3601

Given numbers has no common factors except 1. So, there LCM is their product i.e 3251703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3251703

Therefore, the GCF of Fractions 9898/903,2071/3601 is 1/3251703

Least Common Multiple of 903,3601 with GCF Formula

Least Common Multiple of 903,3601 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 903,3601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(903,3601) = 1

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

GCF(903,3601) x common factors =1 x 1 = 1

LCM(903,3601) = ( 903 × 3601 ) / 1

LCM(903,3601) = 3251703 / 1

LCM(903,3601) = 3251703


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 9898/903, 2071/3601

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 9898/903, 2071/3601?

Answer: GCF of Numerators as per given numbers 9898/903, 2071/3601 is

GCF of Numerators i.e. for 9898,2071 is 1

LCM of denominators i.e. for 903,3601 is 3251703.

Thus, GCF of Fractions is 1/3251703.Finally, GCF of Fractions for 9898/903, 2071/3601 is 1/3251703.