Greatest Common Factor of 8792/557, 8816/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8792/557, 8816/449

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 8792/557,8816/449

Given fractions are 8792/557,8816/449

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 8792,8816

Greatest Common Factor of Numerators i.e. GCF of 8792,8816 is 8 .

LCM of Denominators means LCM of 557,449 as per the given fractions.

LCM of 557,449 is 250093 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8792,8816

GCF of Fractions 8792/557,8816/449 is 8/250093

2 8792, 8816
2 4396, 4408
2 2198, 2204
1099, 1102

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8792,8816 By Matching Biggest Common Factor Method

Greatest Common Factor of 8792,8816 By Matching Biggest Common Factor Method

Factors of 8792

List of positive integer factors of 8792 that divides 8792 without a remainder.

1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792

Factors of 8816

List of positive integer factors of 8816 that divides 8816 without a remainder.

1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816

Greatest Common Factor

We found the factors 8792,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 8792,8816 is 8.

Lets's calculate LCM of 557,449

Given numbers has no common factors except 1. So, there LCM is their product i.e 250093

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/250093

Therefore, the GCF of Fractions 8792/557,8816/449 is 8/250093

Least Common Multiple of 557,449 with GCF Formula

Least Common Multiple of 557,449 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 557,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,449) = 1

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

GCF(557,449) x common factors =1 x 1 = 1

LCM(557,449) = ( 557 × 449 ) / 1

LCM(557,449) = 250093 / 1

LCM(557,449) = 250093


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 8792/557, 8816/449

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 8792/557, 8816/449?

Answer: GCF of Numerators as per given numbers 8792/557, 8816/449 is

GCF of Numerators i.e. for 8792,8816 is 8

LCM of denominators i.e. for 557,449 is 250093.

Thus, GCF of Fractions is 8/250093.Finally, GCF of Fractions for 8792/557, 8816/449 is 8/250093.