Greatest Common Factor of 8749/272, 8893/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8749/272, 8893/904

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 8749/272,8893/904

Given fractions are 8749/272,8893/904

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 8749,8893

Greatest Common Factor of Numerators i.e. GCF of 8749,8893 is 1 .

LCM of Denominators means LCM of 272,904 as per the given fractions.

LCM of 272,904 is 30736 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8749,8893

GCF of Fractions 8749/272,8893/904 is 1/30736

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8749,8893 By Matching Biggest Common Factor Method

Greatest Common Factor of 8749,8893 By Matching Biggest Common Factor Method

Factors of 8749

List of positive integer factors of 8749 that divides 8749 without a remainder.

1,13,673,8749

Factors of 8893

List of positive integer factors of 8893 that divides 8893 without a remainder.

1,8893

Greatest Common Factor

We found the factors 8749,8893 . The biggest common factor number is the GCF number.
So the greatest common factor 8749,8893 is 1.

Lets's calculate LCM of 272,904

2 272, 904
2 136, 452
2 68, 226
34, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 34 x 113 = 30736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30736

Therefore, the GCF of Fractions 8749/272,8893/904 is 1/30736

Least Common Multiple of 272,904 with GCF Formula

Least Common Multiple of 272,904 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 272,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,904) = 8

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

GCF(272,904) x common factors =8 x 1 = 8

LCM(272,904) = ( 272 × 904 ) / 8

LCM(272,904) = 245888 / 8

LCM(272,904) = 30736


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 8749/272, 8893/904

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 8749/272, 8893/904?

Answer: GCF of Numerators as per given numbers 8749/272, 8893/904 is

GCF of Numerators i.e. for 8749,8893 is 1

LCM of denominators i.e. for 272,904 is 30736.

Thus, GCF of Fractions is 1/30736.Finally, GCF of Fractions for 8749/272, 8893/904 is 1/30736.