Greatest Common Factor of 7204/458, 4016/6898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7204/458, 4016/6898

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 7204/458,4016/6898

Given fractions are 7204/458,4016/6898

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 7204,4016

Greatest Common Factor of Numerators i.e. GCF of 7204,4016 is 4 .

LCM of Denominators means LCM of 458,6898 as per the given fractions.

LCM of 458,6898 is 1579642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7204,4016

GCF of Fractions 7204/458,4016/6898 is 4/1579642

2 7204, 4016
2 3602, 2008
1801, 1004

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7204,4016 By Matching Biggest Common Factor Method

Greatest Common Factor of 7204,4016 By Matching Biggest Common Factor Method

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

Factors of 4016

List of positive integer factors of 4016 that divides 4016 without a remainder.

1,2,4,8,16,251,502,1004,2008,4016

Greatest Common Factor

We found the factors 7204,4016 . The biggest common factor number is the GCF number.
So the greatest common factor 7204,4016 is 4.

Lets's calculate LCM of 458,6898

2 458, 6898
229, 3449

∴ So the LCM of the given numbers is 2 x 229 x 3449 = 1579642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1579642

Therefore, the GCF of Fractions 7204/458,4016/6898 is 4/1579642

Least Common Multiple of 458,6898 with GCF Formula

Least Common Multiple of 458,6898 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 458,6898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,6898) = 2

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

GCF(458,6898) x common factors =2 x 1 = 2

LCM(458,6898) = ( 458 × 6898 ) / 2

LCM(458,6898) = 3159284 / 2

LCM(458,6898) = 1579642


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 7204/458, 4016/6898

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 7204/458, 4016/6898?

Answer: GCF of Numerators as per given numbers 7204/458, 4016/6898 is

GCF of Numerators i.e. for 7204,4016 is 4

LCM of denominators i.e. for 458,6898 is 1579642.

Thus, GCF of Fractions is 4/1579642.Finally, GCF of Fractions for 7204/458, 4016/6898 is 4/1579642.