Greatest Common Factor of 8670/803, 4833/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8670/803, 4833/699

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 8670/803,4833/699

Given fractions are 8670/803,4833/699

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 8670,4833

Greatest Common Factor of Numerators i.e. GCF of 8670,4833 is 3 .

LCM of Denominators means LCM of 803,699 as per the given fractions.

LCM of 803,699 is 561297 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8670,4833

GCF of Fractions 8670/803,4833/699 is 3/561297

3 8670, 4833
2890, 1611

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

Greatest Common Factor of 8670,4833 By Matching Biggest Common Factor Method

Greatest Common Factor of 8670,4833 By Matching Biggest Common Factor Method

Factors of 8670

List of positive integer factors of 8670 that divides 8670 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670

Factors of 4833

List of positive integer factors of 4833 that divides 4833 without a remainder.

1,3,9,27,179,537,1611,4833

Greatest Common Factor

We found the factors 8670,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 8670,4833 is 3.

Lets's calculate LCM of 803,699

Given numbers has no common factors except 1. So, there LCM is their product i.e 561297

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/561297

Therefore, the GCF of Fractions 8670/803,4833/699 is 3/561297

Least Common Multiple of 803,699 with GCF Formula

Least Common Multiple of 803,699 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 803,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(803,699) = 1

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

GCF(803,699) x common factors =1 x 1 = 1

LCM(803,699) = ( 803 × 699 ) / 1

LCM(803,699) = 561297 / 1

LCM(803,699) = 561297


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 8670/803, 4833/699

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 8670/803, 4833/699?

Answer: GCF of Numerators as per given numbers 8670/803, 4833/699 is

GCF of Numerators i.e. for 8670,4833 is 3

LCM of denominators i.e. for 803,699 is 561297.

Thus, GCF of Fractions is 3/561297.Finally, GCF of Fractions for 8670/803, 4833/699 is 3/561297.