Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3195/929,1375/3401
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 3195,1375
Greatest Common Factor of Numerators i.e. GCF of 3195,1375 is 5 .
LCM of Denominators means LCM of 929,3401 as per the given fractions.
LCM of 929,3401 is 3159529 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3195,1375
5 | 3195, 1375 |
639, 275 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 3195
List of positive integer factors of 3195 that divides 3195 without a remainder.
1,3,5,9,15,45,71,213,355,639,1065,3195
Factors of 1375
List of positive integer factors of 1375 that divides 1375 without a remainder.
1,5,11,25,55,125,275,1375
Greatest Common Factor
We found the factors 3195,1375 . The biggest common factor number is the GCF number.
So the greatest common factor 3195,1375 is 5.
Lets's calculate LCM of 929,3401
Given numbers has no common factors except 1. So, there LCM is their product i.e 3159529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3159529
Therefore, the GCF of Fractions 3195/929,1375/3401 is 5/3159529
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 929,3401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,3401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,3401) x common factors =1 x 1 = 1
LCM(929,3401) = ( 929 × 3401 ) / 1
LCM(929,3401) = 3159529 / 1
LCM(929,3401) = 3159529
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 3195/929, 1375/3401?
Answer: GCF of Numerators as per given numbers 3195/929, 1375/3401 is
GCF of Numerators i.e. for 3195,1375 is 5
LCM of denominators i.e. for 929,3401 is 3159529.
Thus, GCF of Fractions is 5/3159529.Finally, GCF of Fractions for 3195/929, 1375/3401 is 5/3159529.