Greatest Common Factor of 2285/196, 9989/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2285/196, 9989/349

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 2285/196,9989/349

Given fractions are 2285/196,9989/349

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 2285,9989

Greatest Common Factor of Numerators i.e. GCF of 2285,9989 is 1 .

LCM of Denominators means LCM of 196,349 as per the given fractions.

LCM of 196,349 is 68404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2285,9989

GCF of Fractions 2285/196,9989/349 is 1/68404

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

Greatest Common Factor of 2285,9989 By Matching Biggest Common Factor Method

Greatest Common Factor of 2285,9989 By Matching Biggest Common Factor Method

Factors of 2285

List of positive integer factors of 2285 that divides 2285 without a remainder.

1,5,457,2285

Factors of 9989

List of positive integer factors of 9989 that divides 9989 without a remainder.

1,7,1427,9989

Greatest Common Factor

We found the factors 2285,9989 . The biggest common factor number is the GCF number.
So the greatest common factor 2285,9989 is 1.

Lets's calculate LCM of 196,349

Given numbers has no common factors except 1. So, there LCM is their product i.e 68404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68404

Therefore, the GCF of Fractions 2285/196,9989/349 is 1/68404

Least Common Multiple of 196,349 with GCF Formula

Least Common Multiple of 196,349 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 196,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,349) = 1

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

GCF(196,349) x common factors =1 x 1 = 1

LCM(196,349) = ( 196 × 349 ) / 1

LCM(196,349) = 68404 / 1

LCM(196,349) = 68404


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 2285/196, 9989/349

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 2285/196, 9989/349?

Answer: GCF of Numerators as per given numbers 2285/196, 9989/349 is

GCF of Numerators i.e. for 2285,9989 is 1

LCM of denominators i.e. for 196,349 is 68404.

Thus, GCF of Fractions is 1/68404.Finally, GCF of Fractions for 2285/196, 9989/349 is 1/68404.