Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1107/44,6211/868
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 1107,6211
Greatest Common Factor of Numerators i.e. GCF of 1107,6211 is 1 .
LCM of Denominators means LCM of 44,868 as per the given fractions.
LCM of 44,868 is 9548 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1107,6211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1107
List of positive integer factors of 1107 that divides 1107 without a remainder.
1,3,9,27,41,123,369,1107
Factors of 6211
List of positive integer factors of 6211 that divides 6211 without a remainder.
1,6211
Greatest Common Factor
We found the factors 1107,6211 . The biggest common factor number is the GCF number.
So the greatest common factor 1107,6211 is 1.
Lets's calculate LCM of 44,868
2 | 44, 868 |
2 | 22, 434 |
11, 217 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 217 = 9548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9548
Therefore, the GCF of Fractions 1107/44,6211/868 is 1/9548
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 44,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,868) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(44,868) x common factors =4 x 1 = 4
LCM(44,868) = ( 44 × 868 ) / 4
LCM(44,868) = 38192 / 4
LCM(44,868) = 9548
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 1107/44, 6211/868?
Answer: GCF of Numerators as per given numbers 1107/44, 6211/868 is
GCF of Numerators i.e. for 1107,6211 is 1
LCM of denominators i.e. for 44,868 is 9548.
Thus, GCF of Fractions is 1/9548.Finally, GCF of Fractions for 1107/44, 6211/868 is 1/9548.