Greatest Common Factor of 8004/928, 2468/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8004/928, 2468/743

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 8004/928,2468/743

Given fractions are 8004/928,2468/743

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 8004,2468

Greatest Common Factor of Numerators i.e. GCF of 8004,2468 is 4 .

LCM of Denominators means LCM of 928,743 as per the given fractions.

LCM of 928,743 is 689504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8004,2468

GCF of Fractions 8004/928,2468/743 is 4/689504

2 8004, 2468
2 4002, 1234
2001, 617

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

Greatest Common Factor of 8004,2468 By Matching Biggest Common Factor Method

Greatest Common Factor of 8004,2468 By Matching Biggest Common Factor Method

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004

Factors of 2468

List of positive integer factors of 2468 that divides 2468 without a remainder.

1,2,4,617,1234,2468

Greatest Common Factor

We found the factors 8004,2468 . The biggest common factor number is the GCF number.
So the greatest common factor 8004,2468 is 4.

Lets's calculate LCM of 928,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 689504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/689504

Therefore, the GCF of Fractions 8004/928,2468/743 is 4/689504

Least Common Multiple of 928,743 with GCF Formula

Least Common Multiple of 928,743 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 928,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,743) = 1

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

GCF(928,743) x common factors =1 x 1 = 1

LCM(928,743) = ( 928 × 743 ) / 1

LCM(928,743) = 689504 / 1

LCM(928,743) = 689504


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 8004/928, 2468/743

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 8004/928, 2468/743?

Answer: GCF of Numerators as per given numbers 8004/928, 2468/743 is

GCF of Numerators i.e. for 8004,2468 is 4

LCM of denominators i.e. for 928,743 is 689504.

Thus, GCF of Fractions is 4/689504.Finally, GCF of Fractions for 8004/928, 2468/743 is 4/689504.