Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 378/891,8415/120
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 378,8415
Greatest Common Factor of Numerators i.e. GCF of 378,8415 is 9 .
LCM of Denominators means LCM of 891,120 as per the given fractions.
LCM of 891,120 is 35640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 378,8415
3 | 378, 8415 |
3 | 126, 2805 |
42, 935 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Factors of 8415
List of positive integer factors of 8415 that divides 8415 without a remainder.
1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415
Greatest Common Factor
We found the factors 378,8415 . The biggest common factor number is the GCF number.
So the greatest common factor 378,8415 is 9.
Lets's calculate LCM of 891,120
3 | 891, 120 |
297, 40 |
∴ So the LCM of the given numbers is 3 x 297 x 40 = 35640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/35640
Therefore, the GCF of Fractions 378/891,8415/120 is 9/35640
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 891,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,120) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(891,120) x common factors =3 x 1 = 3
LCM(891,120) = ( 891 × 120 ) / 3
LCM(891,120) = 106920 / 3
LCM(891,120) = 35640
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 378/891, 8415/120?
Answer: GCF of Numerators as per given numbers 378/891, 8415/120 is
GCF of Numerators i.e. for 378,8415 is 9
LCM of denominators i.e. for 891,120 is 35640.
Thus, GCF of Fractions is 9/35640.Finally, GCF of Fractions for 378/891, 8415/120 is 9/35640.