Greatest Common Factor of 7032/664, 8786/4455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7032/664, 8786/4455

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 7032/664,8786/4455

Given fractions are 7032/664,8786/4455

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 7032,8786

Greatest Common Factor of Numerators i.e. GCF of 7032,8786 is 2 .

LCM of Denominators means LCM of 664,4455 as per the given fractions.

LCM of 664,4455 is 2958120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7032,8786

GCF of Fractions 7032/664,8786/4455 is 2/2958120

2 7032, 8786
3516, 4393

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

Greatest Common Factor of 7032,8786 By Matching Biggest Common Factor Method

Greatest Common Factor of 7032,8786 By Matching Biggest Common Factor Method

Factors of 7032

List of positive integer factors of 7032 that divides 7032 without a remainder.

1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032

Factors of 8786

List of positive integer factors of 8786 that divides 8786 without a remainder.

1,2,23,46,191,382,4393,8786

Greatest Common Factor

We found the factors 7032,8786 . The biggest common factor number is the GCF number.
So the greatest common factor 7032,8786 is 2.

Lets's calculate LCM of 664,4455

Given numbers has no common factors except 1. So, there LCM is their product i.e 2958120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2958120

Therefore, the GCF of Fractions 7032/664,8786/4455 is 2/2958120

Least Common Multiple of 664,4455 with GCF Formula

Least Common Multiple of 664,4455 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 664,4455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,4455) = 1

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

GCF(664,4455) x common factors =1 x 1 = 1

LCM(664,4455) = ( 664 × 4455 ) / 1

LCM(664,4455) = 2958120 / 1

LCM(664,4455) = 2958120


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 7032/664, 8786/4455

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 7032/664, 8786/4455?

Answer: GCF of Numerators as per given numbers 7032/664, 8786/4455 is

GCF of Numerators i.e. for 7032,8786 is 2

LCM of denominators i.e. for 664,4455 is 2958120.

Thus, GCF of Fractions is 2/2958120.Finally, GCF of Fractions for 7032/664, 8786/4455 is 2/2958120.