Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5047/883,5025/5055
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 5047,5025
Greatest Common Factor of Numerators i.e. GCF of 5047,5025 is 1 .
LCM of Denominators means LCM of 883,5055 as per the given fractions.
LCM of 883,5055 is 4463565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5047,5025
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5047
List of positive integer factors of 5047 that divides 5047 without a remainder.
1,7,49,103,721,5047
Factors of 5025
List of positive integer factors of 5025 that divides 5025 without a remainder.
1,3,5,15,25,67,75,201,335,1005,1675,5025
Greatest Common Factor
We found the factors 5047,5025 . The biggest common factor number is the GCF number.
So the greatest common factor 5047,5025 is 1.
Lets's calculate LCM of 883,5055
Given numbers has no common factors except 1. So, there LCM is their product i.e 4463565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4463565
Therefore, the GCF of Fractions 5047/883,5025/5055 is 1/4463565
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 883,5055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,5055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,5055) x common factors =1 x 1 = 1
LCM(883,5055) = ( 883 × 5055 ) / 1
LCM(883,5055) = 4463565 / 1
LCM(883,5055) = 4463565
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 5047/883, 5025/5055?
Answer: GCF of Numerators as per given numbers 5047/883, 5025/5055 is
GCF of Numerators i.e. for 5047,5025 is 1
LCM of denominators i.e. for 883,5055 is 4463565.
Thus, GCF of Fractions is 1/4463565.Finally, GCF of Fractions for 5047/883, 5025/5055 is 1/4463565.