Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5299/883,2605/9688
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 5299,2605
Greatest Common Factor of Numerators i.e. GCF of 5299,2605 is 1 .
LCM of Denominators means LCM of 883,9688 as per the given fractions.
LCM of 883,9688 is 8554504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5299,2605
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5299
List of positive integer factors of 5299 that divides 5299 without a remainder.
1,7,757,5299
Factors of 2605
List of positive integer factors of 2605 that divides 2605 without a remainder.
1,5,521,2605
Greatest Common Factor
We found the factors 5299,2605 . The biggest common factor number is the GCF number.
So the greatest common factor 5299,2605 is 1.
Lets's calculate LCM of 883,9688
Given numbers has no common factors except 1. So, there LCM is their product i.e 8554504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8554504
Therefore, the GCF of Fractions 5299/883,2605/9688 is 1/8554504
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 883,9688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,9688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,9688) x common factors =1 x 1 = 1
LCM(883,9688) = ( 883 × 9688 ) / 1
LCM(883,9688) = 8554504 / 1
LCM(883,9688) = 8554504
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 5299/883, 2605/9688?
Answer: GCF of Numerators as per given numbers 5299/883, 2605/9688 is
GCF of Numerators i.e. for 5299,2605 is 1
LCM of denominators i.e. for 883,9688 is 8554504.
Thus, GCF of Fractions is 1/8554504.Finally, GCF of Fractions for 5299/883, 2605/9688 is 1/8554504.