Greatest Common Factor of 9502/775, 6688/9944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9502/775, 6688/9944

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 9502/775,6688/9944

Given fractions are 9502/775,6688/9944

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 9502,6688

Greatest Common Factor of Numerators i.e. GCF of 9502,6688 is 2 .

LCM of Denominators means LCM of 775,9944 as per the given fractions.

LCM of 775,9944 is 7706600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9502,6688

GCF of Fractions 9502/775,6688/9944 is 2/7706600

2 9502, 6688
4751, 3344

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

Greatest Common Factor of 9502,6688 By Matching Biggest Common Factor Method

Greatest Common Factor of 9502,6688 By Matching Biggest Common Factor Method

Factors of 9502

List of positive integer factors of 9502 that divides 9502 without a remainder.

1,2,4751,9502

Factors of 6688

List of positive integer factors of 6688 that divides 6688 without a remainder.

1,2,4,8,11,16,19,22,32,38,44,76,88,152,176,209,304,352,418,608,836,1672,3344,6688

Greatest Common Factor

We found the factors 9502,6688 . The biggest common factor number is the GCF number.
So the greatest common factor 9502,6688 is 2.

Lets's calculate LCM of 775,9944

Given numbers has no common factors except 1. So, there LCM is their product i.e 7706600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7706600

Therefore, the GCF of Fractions 9502/775,6688/9944 is 2/7706600

Least Common Multiple of 775,9944 with GCF Formula

Least Common Multiple of 775,9944 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 775,9944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,9944) = 1

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

GCF(775,9944) x common factors =1 x 1 = 1

LCM(775,9944) = ( 775 × 9944 ) / 1

LCM(775,9944) = 7706600 / 1

LCM(775,9944) = 7706600


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 9502/775, 6688/9944

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 9502/775, 6688/9944?

Answer: GCF of Numerators as per given numbers 9502/775, 6688/9944 is

GCF of Numerators i.e. for 9502,6688 is 2

LCM of denominators i.e. for 775,9944 is 7706600.

Thus, GCF of Fractions is 2/7706600.Finally, GCF of Fractions for 9502/775, 6688/9944 is 2/7706600.