Greatest Common Factor of 8494/192, 5504/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8494/192, 5504/805

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 8494/192,5504/805

Given fractions are 8494/192,5504/805

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 8494,5504

Greatest Common Factor of Numerators i.e. GCF of 8494,5504 is 2 .

LCM of Denominators means LCM of 192,805 as per the given fractions.

LCM of 192,805 is 154560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8494,5504

GCF of Fractions 8494/192,5504/805 is 2/154560

2 8494, 5504
4247, 2752

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

Greatest Common Factor of 8494,5504 By Matching Biggest Common Factor Method

Greatest Common Factor of 8494,5504 By Matching Biggest Common Factor Method

Factors of 8494

List of positive integer factors of 8494 that divides 8494 without a remainder.

1,2,31,62,137,274,4247,8494

Factors of 5504

List of positive integer factors of 5504 that divides 5504 without a remainder.

1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504

Greatest Common Factor

We found the factors 8494,5504 . The biggest common factor number is the GCF number.
So the greatest common factor 8494,5504 is 2.


Lets's calculate LCM of 192,805

Given numbers has no common factors except 1. So, there LCM is their product i.e 154560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/154560

Therefore, the GCF of Fractions 8494/192,5504/805 is 2/154560

Least Common Multiple of 192,805 with GCF Formula

Least Common Multiple of 192,805 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 192,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,805) = 1

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

GCF(192,805) x common factors =1 x 1 = 1

LCM(192,805) = ( 192 × 805 ) / 1

LCM(192,805) = 154560 / 1

LCM(192,805) = 154560


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8494/192, 5504/805

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 8494/192, 5504/805?

Answer: GCF of Numerators as per given numbers 8494/192, 5504/805 is

GCF of Numerators i.e. for 8494,5504 is 2

LCM of denominators i.e. for 192,805 is 154560.

Thus, GCF of Fractions is 2/154560.Finally, GCF of Fractions for 8494/192, 5504/805 is 2/154560.