Greatest Common Factor of 8673/783, 8040/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8673/783, 8040/458

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 8673/783,8040/458

Given fractions are 8673/783,8040/458

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 8673,8040

Greatest Common Factor of Numerators i.e. GCF of 8673,8040 is 3 .

LCM of Denominators means LCM of 783,458 as per the given fractions.

LCM of 783,458 is 358614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8673,8040

GCF of Fractions 8673/783,8040/458 is 3/358614

3 8673, 8040
2891, 2680

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8673,8040 By Matching Biggest Common Factor Method

Greatest Common Factor of 8673,8040 By Matching Biggest Common Factor Method

Factors of 8673

List of positive integer factors of 8673 that divides 8673 without a remainder.

1,3,7,21,49,59,147,177,413,1239,2891,8673

Factors of 8040

List of positive integer factors of 8040 that divides 8040 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040

Greatest Common Factor

We found the factors 8673,8040 . The biggest common factor number is the GCF number.
So the greatest common factor 8673,8040 is 3.

Lets's calculate LCM of 783,458

Given numbers has no common factors except 1. So, there LCM is their product i.e 358614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/358614

Therefore, the GCF of Fractions 8673/783,8040/458 is 3/358614

Least Common Multiple of 783,458 with GCF Formula

Least Common Multiple of 783,458 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 783,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,458) = 1

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

GCF(783,458) x common factors =1 x 1 = 1

LCM(783,458) = ( 783 × 458 ) / 1

LCM(783,458) = 358614 / 1

LCM(783,458) = 358614


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 8673/783, 8040/458

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 8673/783, 8040/458?

Answer: GCF of Numerators as per given numbers 8673/783, 8040/458 is

GCF of Numerators i.e. for 8673,8040 is 3

LCM of denominators i.e. for 783,458 is 358614.

Thus, GCF of Fractions is 3/358614.Finally, GCF of Fractions for 8673/783, 8040/458 is 3/358614.