Greatest Common Factor of 8464/295, 5530/4176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8464/295, 5530/4176

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 8464/295,5530/4176

Given fractions are 8464/295,5530/4176

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 8464,5530

Greatest Common Factor of Numerators i.e. GCF of 8464,5530 is 2 .

LCM of Denominators means LCM of 295,4176 as per the given fractions.

LCM of 295,4176 is 1231920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8464,5530

GCF of Fractions 8464/295,5530/4176 is 2/1231920

2 8464, 5530
4232, 2765

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

Greatest Common Factor of 8464,5530 By Matching Biggest Common Factor Method

Greatest Common Factor of 8464,5530 By Matching Biggest Common Factor Method

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Factors of 5530

List of positive integer factors of 5530 that divides 5530 without a remainder.

1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530

Greatest Common Factor

We found the factors 8464,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 8464,5530 is 2.

Lets's calculate LCM of 295,4176

Given numbers has no common factors except 1. So, there LCM is their product i.e 1231920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1231920

Therefore, the GCF of Fractions 8464/295,5530/4176 is 2/1231920

Least Common Multiple of 295,4176 with GCF Formula

Least Common Multiple of 295,4176 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 295,4176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,4176) = 1

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

GCF(295,4176) x common factors =1 x 1 = 1

LCM(295,4176) = ( 295 × 4176 ) / 1

LCM(295,4176) = 1231920 / 1

LCM(295,4176) = 1231920


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 8464/295, 5530/4176

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 8464/295, 5530/4176?

Answer: GCF of Numerators as per given numbers 8464/295, 5530/4176 is

GCF of Numerators i.e. for 8464,5530 is 2

LCM of denominators i.e. for 295,4176 is 1231920.

Thus, GCF of Fractions is 2/1231920.Finally, GCF of Fractions for 8464/295, 5530/4176 is 2/1231920.