Greatest Common Factor of 4543/105, 6888/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4543/105, 6888/104

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 4543/105,6888/104

Given fractions are 4543/105,6888/104

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 4543,6888

Greatest Common Factor of Numerators i.e. GCF of 4543,6888 is 7 .

LCM of Denominators means LCM of 105,104 as per the given fractions.

LCM of 105,104 is 10920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4543,6888

GCF of Fractions 4543/105,6888/104 is 7/10920

7 4543, 6888
649, 984

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4543,6888 By Matching Biggest Common Factor Method

Greatest Common Factor of 4543,6888 By Matching Biggest Common Factor Method

Factors of 4543

List of positive integer factors of 4543 that divides 4543 without a remainder.

1,7,11,59,77,413,649,4543

Factors of 6888

List of positive integer factors of 6888 that divides 6888 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888

Greatest Common Factor

We found the factors 4543,6888 . The biggest common factor number is the GCF number.
So the greatest common factor 4543,6888 is 7.

Lets's calculate LCM of 105,104

Given numbers has no common factors except 1. So, there LCM is their product i.e 10920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10920

Therefore, the GCF of Fractions 4543/105,6888/104 is 7/10920

Least Common Multiple of 105,104 with GCF Formula

Least Common Multiple of 105,104 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 105,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,104) = 1

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

GCF(105,104) x common factors =1 x 1 = 1

LCM(105,104) = ( 105 × 104 ) / 1

LCM(105,104) = 10920 / 1

LCM(105,104) = 10920


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 4543/105, 6888/104

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 4543/105, 6888/104?

Answer: GCF of Numerators as per given numbers 4543/105, 6888/104 is

GCF of Numerators i.e. for 4543,6888 is 7

LCM of denominators i.e. for 105,104 is 10920.

Thus, GCF of Fractions is 7/10920.Finally, GCF of Fractions for 4543/105, 6888/104 is 7/10920.