Greatest Common Factor of 5459/43, 7842/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5459/43, 7842/873

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 5459/43,7842/873

Given fractions are 5459/43,7842/873

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 5459,7842

Greatest Common Factor of Numerators i.e. GCF of 5459,7842 is 1 .

LCM of Denominators means LCM of 43,873 as per the given fractions.

LCM of 43,873 is 37539 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5459,7842

GCF of Fractions 5459/43,7842/873 is 1/37539

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

Greatest Common Factor of 5459,7842 By Matching Biggest Common Factor Method

Greatest Common Factor of 5459,7842 By Matching Biggest Common Factor Method

Factors of 5459

List of positive integer factors of 5459 that divides 5459 without a remainder.

1,53,103,5459

Factors of 7842

List of positive integer factors of 7842 that divides 7842 without a remainder.

1,2,3,6,1307,2614,3921,7842

Greatest Common Factor

We found the factors 5459,7842 . The biggest common factor number is the GCF number.
So the greatest common factor 5459,7842 is 1.

Lets's calculate LCM of 43,873

Given numbers has no common factors except 1. So, there LCM is their product i.e 37539

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37539

Therefore, the GCF of Fractions 5459/43,7842/873 is 1/37539

Least Common Multiple of 43,873 with GCF Formula

Least Common Multiple of 43,873 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 43,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,873) = 1

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

GCF(43,873) x common factors =1 x 1 = 1

LCM(43,873) = ( 43 × 873 ) / 1

LCM(43,873) = 37539 / 1

LCM(43,873) = 37539


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 5459/43, 7842/873

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 5459/43, 7842/873?

Answer: GCF of Numerators as per given numbers 5459/43, 7842/873 is

GCF of Numerators i.e. for 5459,7842 is 1

LCM of denominators i.e. for 43,873 is 37539.

Thus, GCF of Fractions is 1/37539.Finally, GCF of Fractions for 5459/43, 7842/873 is 1/37539.