Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9849/425,3957/278
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 9849,3957
Greatest Common Factor of Numerators i.e. GCF of 9849,3957 is 3 .
LCM of Denominators means LCM of 425,278 as per the given fractions.
LCM of 425,278 is 118150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9849,3957
3 | 9849, 3957 |
3283, 1319 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9849
List of positive integer factors of 9849 that divides 9849 without a remainder.
1,3,7,21,49,67,147,201,469,1407,3283,9849
Factors of 3957
List of positive integer factors of 3957 that divides 3957 without a remainder.
1,3,1319,3957
Greatest Common Factor
We found the factors 9849,3957 . The biggest common factor number is the GCF number.
So the greatest common factor 9849,3957 is 3.
Lets's calculate LCM of 425,278
Given numbers has no common factors except 1. So, there LCM is their product i.e 118150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/118150
Therefore, the GCF of Fractions 9849/425,3957/278 is 3/118150
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 425,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,278) x common factors =1 x 1 = 1
LCM(425,278) = ( 425 × 278 ) / 1
LCM(425,278) = 118150 / 1
LCM(425,278) = 118150
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 9849/425, 3957/278?
Answer: GCF of Numerators as per given numbers 9849/425, 3957/278 is
GCF of Numerators i.e. for 9849,3957 is 3
LCM of denominators i.e. for 425,278 is 118150.
Thus, GCF of Fractions is 3/118150.Finally, GCF of Fractions for 9849/425, 3957/278 is 3/118150.