Greatest Common Factor of 8264/789, 2110/7499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8264/789, 2110/7499

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 8264/789,2110/7499

Given fractions are 8264/789,2110/7499

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 8264,2110

Greatest Common Factor of Numerators i.e. GCF of 8264,2110 is 2 .

LCM of Denominators means LCM of 789,7499 as per the given fractions.

LCM of 789,7499 is 5916711 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8264,2110

GCF of Fractions 8264/789,2110/7499 is 2/5916711

2 8264, 2110
4132, 1055

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

Greatest Common Factor of 8264,2110 By Matching Biggest Common Factor Method

Greatest Common Factor of 8264,2110 By Matching Biggest Common Factor Method

Factors of 8264

List of positive integer factors of 8264 that divides 8264 without a remainder.

1,2,4,8,1033,2066,4132,8264

Factors of 2110

List of positive integer factors of 2110 that divides 2110 without a remainder.

1,2,5,10,211,422,1055,2110

Greatest Common Factor

We found the factors 8264,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 8264,2110 is 2.

Lets's calculate LCM of 789,7499

Given numbers has no common factors except 1. So, there LCM is their product i.e 5916711

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5916711

Therefore, the GCF of Fractions 8264/789,2110/7499 is 2/5916711

Least Common Multiple of 789,7499 with GCF Formula

Least Common Multiple of 789,7499 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 789,7499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,7499) = 1

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

GCF(789,7499) x common factors =1 x 1 = 1

LCM(789,7499) = ( 789 × 7499 ) / 1

LCM(789,7499) = 5916711 / 1

LCM(789,7499) = 5916711


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 8264/789, 2110/7499

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 8264/789, 2110/7499?

Answer: GCF of Numerators as per given numbers 8264/789, 2110/7499 is

GCF of Numerators i.e. for 8264,2110 is 2

LCM of denominators i.e. for 789,7499 is 5916711.

Thus, GCF of Fractions is 2/5916711.Finally, GCF of Fractions for 8264/789, 2110/7499 is 2/5916711.