Greatest Common Factor of 6107/16, 8928/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6107/16, 8928/443

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 6107/16,8928/443

Given fractions are 6107/16,8928/443

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 6107,8928

Greatest Common Factor of Numerators i.e. GCF of 6107,8928 is 31 .

LCM of Denominators means LCM of 16,443 as per the given fractions.

LCM of 16,443 is 7088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6107,8928

GCF of Fractions 6107/16,8928/443 is 31/7088

31 6107, 8928
197, 288

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 6107,8928 By Matching Biggest Common Factor Method

Greatest Common Factor of 6107,8928 By Matching Biggest Common Factor Method

Factors of 6107

List of positive integer factors of 6107 that divides 6107 without a remainder.

1,31,197,6107

Factors of 8928

List of positive integer factors of 8928 that divides 8928 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,31,32,36,48,62,72,93,96,124,144,186,248,279,288,372,496,558,744,992,1116,1488,2232,2976,4464,8928

Greatest Common Factor

We found the factors 6107,8928 . The biggest common factor number is the GCF number.
So the greatest common factor 6107,8928 is 31.

Lets's calculate LCM of 16,443

Given numbers has no common factors except 1. So, there LCM is their product i.e 7088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/7088

Therefore, the GCF of Fractions 6107/16,8928/443 is 31/7088

Least Common Multiple of 16,443 with GCF Formula

Least Common Multiple of 16,443 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 16,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,443) = 1

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

GCF(16,443) x common factors =1 x 1 = 1

LCM(16,443) = ( 16 × 443 ) / 1

LCM(16,443) = 7088 / 1

LCM(16,443) = 7088


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 6107/16, 8928/443

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 6107/16, 8928/443?

Answer: GCF of Numerators as per given numbers 6107/16, 8928/443 is

GCF of Numerators i.e. for 6107,8928 is 31

LCM of denominators i.e. for 16,443 is 7088.

Thus, GCF of Fractions is 31/7088.Finally, GCF of Fractions for 6107/16, 8928/443 is 31/7088.