Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2975/13,5195/990
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 2975,5195
Greatest Common Factor of Numerators i.e. GCF of 2975,5195 is 5 .
LCM of Denominators means LCM of 13,990 as per the given fractions.
LCM of 13,990 is 12870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2975,5195
5 | 2975, 5195 |
595, 1039 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2975
List of positive integer factors of 2975 that divides 2975 without a remainder.
1,5,7,17,25,35,85,119,175,425,595,2975
Factors of 5195
List of positive integer factors of 5195 that divides 5195 without a remainder.
1,5,1039,5195
Greatest Common Factor
We found the factors 2975,5195 . The biggest common factor number is the GCF number.
So the greatest common factor 2975,5195 is 5.
Lets's calculate LCM of 13,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 12870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/12870
Therefore, the GCF of Fractions 2975/13,5195/990 is 5/12870
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 13,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,990) x common factors =1 x 1 = 1
LCM(13,990) = ( 13 × 990 ) / 1
LCM(13,990) = 12870 / 1
LCM(13,990) = 12870
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 2975/13, 5195/990?
Answer: GCF of Numerators as per given numbers 2975/13, 5195/990 is
GCF of Numerators i.e. for 2975,5195 is 5
LCM of denominators i.e. for 13,990 is 12870.
Thus, GCF of Fractions is 5/12870.Finally, GCF of Fractions for 2975/13, 5195/990 is 5/12870.