Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9119/975,3788/2901
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 9119,3788
Greatest Common Factor of Numerators i.e. GCF of 9119,3788 is 1 .
LCM of Denominators means LCM of 975,2901 as per the given fractions.
LCM of 975,2901 is 942825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9119,3788
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9119
List of positive integer factors of 9119 that divides 9119 without a remainder.
1,11,829,9119
Factors of 3788
List of positive integer factors of 3788 that divides 3788 without a remainder.
1,2,4,947,1894,3788
Greatest Common Factor
We found the factors 9119,3788 . The biggest common factor number is the GCF number.
So the greatest common factor 9119,3788 is 1.
Lets's calculate LCM of 975,2901
3 | 975, 2901 |
325, 967 |
∴ So the LCM of the given numbers is 3 x 325 x 967 = 942825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/942825
Therefore, the GCF of Fractions 9119/975,3788/2901 is 1/942825
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 975,2901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,2901) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,2901) x common factors =3 x 1 = 3
LCM(975,2901) = ( 975 × 2901 ) / 3
LCM(975,2901) = 2828475 / 3
LCM(975,2901) = 942825
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 9119/975, 3788/2901?
Answer: GCF of Numerators as per given numbers 9119/975, 3788/2901 is
GCF of Numerators i.e. for 9119,3788 is 1
LCM of denominators i.e. for 975,2901 is 942825.
Thus, GCF of Fractions is 1/942825.Finally, GCF of Fractions for 9119/975, 3788/2901 is 1/942825.