Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8073/725,1535/5095
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 8073,1535
Greatest Common Factor of Numerators i.e. GCF of 8073,1535 is 1 .
LCM of Denominators means LCM of 725,5095 as per the given fractions.
LCM of 725,5095 is 738775 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8073,1535
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8073
List of positive integer factors of 8073 that divides 8073 without a remainder.
1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Factors of 1535
List of positive integer factors of 1535 that divides 1535 without a remainder.
1,5,307,1535
Greatest Common Factor
We found the factors 8073,1535 . The biggest common factor number is the GCF number.
So the greatest common factor 8073,1535 is 1.
Lets's calculate LCM of 725,5095
5 | 725, 5095 |
145, 1019 |
∴ So the LCM of the given numbers is 5 x 145 x 1019 = 738775
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738775
Therefore, the GCF of Fractions 8073/725,1535/5095 is 1/738775
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 725,5095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,5095) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,5095) x common factors =5 x 1 = 5
LCM(725,5095) = ( 725 × 5095 ) / 5
LCM(725,5095) = 3693875 / 5
LCM(725,5095) = 738775
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 8073/725, 1535/5095?
Answer: GCF of Numerators as per given numbers 8073/725, 1535/5095 is
GCF of Numerators i.e. for 8073,1535 is 1
LCM of denominators i.e. for 725,5095 is 738775.
Thus, GCF of Fractions is 1/738775.Finally, GCF of Fractions for 8073/725, 1535/5095 is 1/738775.