Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9416/255,1044/831
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 9416,1044
Greatest Common Factor of Numerators i.e. GCF of 9416,1044 is 4 .
LCM of Denominators means LCM of 255,831 as per the given fractions.
LCM of 255,831 is 70635 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9416,1044
2 | 9416, 1044 |
2 | 4708, 522 |
2354, 261 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9416
List of positive integer factors of 9416 that divides 9416 without a remainder.
1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416
Factors of 1044
List of positive integer factors of 1044 that divides 1044 without a remainder.
1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044
Greatest Common Factor
We found the factors 9416,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 9416,1044 is 4.
Lets's calculate LCM of 255,831
3 | 255, 831 |
85, 277 |
∴ So the LCM of the given numbers is 3 x 85 x 277 = 70635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/70635
Therefore, the GCF of Fractions 9416/255,1044/831 is 4/70635
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 255,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(255,831) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(255,831) x common factors =3 x 1 = 3
LCM(255,831) = ( 255 × 831 ) / 3
LCM(255,831) = 211905 / 3
LCM(255,831) = 70635
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 9416/255, 1044/831?
Answer: GCF of Numerators as per given numbers 9416/255, 1044/831 is
GCF of Numerators i.e. for 9416,1044 is 4
LCM of denominators i.e. for 255,831 is 70635.
Thus, GCF of Fractions is 4/70635.Finally, GCF of Fractions for 9416/255, 1044/831 is 4/70635.