Greatest Common Factor of 7844/677, 5733/8874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7844/677, 5733/8874

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 7844/677,5733/8874

Given fractions are 7844/677,5733/8874

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 7844,5733

Greatest Common Factor of Numerators i.e. GCF of 7844,5733 is 1 .

LCM of Denominators means LCM of 677,8874 as per the given fractions.

LCM of 677,8874 is 6007698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7844,5733

GCF of Fractions 7844/677,5733/8874 is 1/6007698

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

Greatest Common Factor of 7844,5733 By Matching Biggest Common Factor Method

Greatest Common Factor of 7844,5733 By Matching Biggest Common Factor Method

Factors of 7844

List of positive integer factors of 7844 that divides 7844 without a remainder.

1,2,4,37,53,74,106,148,212,1961,3922,7844

Factors of 5733

List of positive integer factors of 5733 that divides 5733 without a remainder.

1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733

Greatest Common Factor

We found the factors 7844,5733 . The biggest common factor number is the GCF number.
So the greatest common factor 7844,5733 is 1.

Lets's calculate LCM of 677,8874

Given numbers has no common factors except 1. So, there LCM is their product i.e 6007698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6007698

Therefore, the GCF of Fractions 7844/677,5733/8874 is 1/6007698

Least Common Multiple of 677,8874 with GCF Formula

Least Common Multiple of 677,8874 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 677,8874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,8874) = 1

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

GCF(677,8874) x common factors =1 x 1 = 1

LCM(677,8874) = ( 677 × 8874 ) / 1

LCM(677,8874) = 6007698 / 1

LCM(677,8874) = 6007698


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 7844/677, 5733/8874

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 7844/677, 5733/8874?

Answer: GCF of Numerators as per given numbers 7844/677, 5733/8874 is

GCF of Numerators i.e. for 7844,5733 is 1

LCM of denominators i.e. for 677,8874 is 6007698.

Thus, GCF of Fractions is 1/6007698.Finally, GCF of Fractions for 7844/677, 5733/8874 is 1/6007698.