Greatest Common Factor of 3019/898, 7244/4201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3019/898, 7244/4201

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 3019/898,7244/4201

Given fractions are 3019/898,7244/4201

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 3019,7244

Greatest Common Factor of Numerators i.e. GCF of 3019,7244 is 1 .

LCM of Denominators means LCM of 898,4201 as per the given fractions.

LCM of 898,4201 is 3772498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3019,7244

GCF of Fractions 3019/898,7244/4201 is 1/3772498

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

Greatest Common Factor of 3019,7244 By Matching Biggest Common Factor Method

Greatest Common Factor of 3019,7244 By Matching Biggest Common Factor Method

Factors of 3019

List of positive integer factors of 3019 that divides 3019 without a remainder.

1,3019

Factors of 7244

List of positive integer factors of 7244 that divides 7244 without a remainder.

1,2,4,1811,3622,7244

Greatest Common Factor

We found the factors 3019,7244 . The biggest common factor number is the GCF number.
So the greatest common factor 3019,7244 is 1.

Lets's calculate LCM of 898,4201

Given numbers has no common factors except 1. So, there LCM is their product i.e 3772498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3772498

Therefore, the GCF of Fractions 3019/898,7244/4201 is 1/3772498

Least Common Multiple of 898,4201 with GCF Formula

Least Common Multiple of 898,4201 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 898,4201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(898,4201) = 1

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

GCF(898,4201) x common factors =1 x 1 = 1

LCM(898,4201) = ( 898 × 4201 ) / 1

LCM(898,4201) = 3772498 / 1

LCM(898,4201) = 3772498


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 3019/898, 7244/4201

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 3019/898, 7244/4201?

Answer: GCF of Numerators as per given numbers 3019/898, 7244/4201 is

GCF of Numerators i.e. for 3019,7244 is 1

LCM of denominators i.e. for 898,4201 is 3772498.

Thus, GCF of Fractions is 1/3772498.Finally, GCF of Fractions for 3019/898, 7244/4201 is 1/3772498.