Greatest Common Factor of 4258/703, 5438/6849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4258/703, 5438/6849

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 4258/703,5438/6849

Given fractions are 4258/703,5438/6849

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 4258,5438

Greatest Common Factor of Numerators i.e. GCF of 4258,5438 is 2 .

LCM of Denominators means LCM of 703,6849 as per the given fractions.

LCM of 703,6849 is 4814847 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4258,5438

GCF of Fractions 4258/703,5438/6849 is 2/4814847

2 4258, 5438
2129, 2719

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

Greatest Common Factor of 4258,5438 By Matching Biggest Common Factor Method

Greatest Common Factor of 4258,5438 By Matching Biggest Common Factor Method

Factors of 4258

List of positive integer factors of 4258 that divides 4258 without a remainder.

1,2,2129,4258

Factors of 5438

List of positive integer factors of 5438 that divides 5438 without a remainder.

1,2,2719,5438

Greatest Common Factor

We found the factors 4258,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 4258,5438 is 2.

Lets's calculate LCM of 703,6849

Given numbers has no common factors except 1. So, there LCM is their product i.e 4814847

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4814847

Therefore, the GCF of Fractions 4258/703,5438/6849 is 2/4814847

Least Common Multiple of 703,6849 with GCF Formula

Least Common Multiple of 703,6849 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 703,6849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,6849) = 1

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

GCF(703,6849) x common factors =1 x 1 = 1

LCM(703,6849) = ( 703 × 6849 ) / 1

LCM(703,6849) = 4814847 / 1

LCM(703,6849) = 4814847


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 4258/703, 5438/6849

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 4258/703, 5438/6849?

Answer: GCF of Numerators as per given numbers 4258/703, 5438/6849 is

GCF of Numerators i.e. for 4258,5438 is 2

LCM of denominators i.e. for 703,6849 is 4814847.

Thus, GCF of Fractions is 2/4814847.Finally, GCF of Fractions for 4258/703, 5438/6849 is 2/4814847.