Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8106/968,4840/8404
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 8106,4840
Greatest Common Factor of Numerators i.e. GCF of 8106,4840 is 2 .
LCM of Denominators means LCM of 968,8404 as per the given fractions.
LCM of 968,8404 is 184888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8106,4840
2 | 8106, 4840 |
4053, 2420 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8106
List of positive integer factors of 8106 that divides 8106 without a remainder.
1,2,3,6,7,14,21,42,193,386,579,1158,1351,2702,4053,8106
Factors of 4840
List of positive integer factors of 4840 that divides 4840 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,121,220,242,440,484,605,968,1210,2420,4840
Greatest Common Factor
We found the factors 8106,4840 . The biggest common factor number is the GCF number.
So the greatest common factor 8106,4840 is 2.
Lets's calculate LCM of 968,8404
2 | 968, 8404 |
2 | 484, 4202 |
11 | 242, 2101 |
22, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 22 x 191 = 184888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/184888
Therefore, the GCF of Fractions 8106/968,4840/8404 is 2/184888
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 968,8404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,8404) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(968,8404) x common factors =44 x 1 = 44
LCM(968,8404) = ( 968 × 8404 ) / 44
LCM(968,8404) = 8135072 / 44
LCM(968,8404) = 184888
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 8106/968, 4840/8404?
Answer: GCF of Numerators as per given numbers 8106/968, 4840/8404 is
GCF of Numerators i.e. for 8106,4840 is 2
LCM of denominators i.e. for 968,8404 is 184888.
Thus, GCF of Fractions is 2/184888.Finally, GCF of Fractions for 8106/968, 4840/8404 is 2/184888.