Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7032/865,5743/6600
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 7032,5743
Greatest Common Factor of Numerators i.e. GCF of 7032,5743 is 1 .
LCM of Denominators means LCM of 865,6600 as per the given fractions.
LCM of 865,6600 is 1141800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7032,5743
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7032
List of positive integer factors of 7032 that divides 7032 without a remainder.
1,2,3,4,6,8,12,24,293,586,879,1172,1758,2344,3516,7032
Factors of 5743
List of positive integer factors of 5743 that divides 5743 without a remainder.
1,5743
Greatest Common Factor
We found the factors 7032,5743 . The biggest common factor number is the GCF number.
So the greatest common factor 7032,5743 is 1.
Lets's calculate LCM of 865,6600
5 | 865, 6600 |
173, 1320 |
∴ So the LCM of the given numbers is 5 x 173 x 1320 = 1141800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1141800
Therefore, the GCF of Fractions 7032/865,5743/6600 is 1/1141800
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 865,6600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,6600) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,6600) x common factors =5 x 1 = 5
LCM(865,6600) = ( 865 × 6600 ) / 5
LCM(865,6600) = 5709000 / 5
LCM(865,6600) = 1141800
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 7032/865, 5743/6600?
Answer: GCF of Numerators as per given numbers 7032/865, 5743/6600 is
GCF of Numerators i.e. for 7032,5743 is 1
LCM of denominators i.e. for 865,6600 is 1141800.
Thus, GCF of Fractions is 1/1141800.Finally, GCF of Fractions for 7032/865, 5743/6600 is 1/1141800.