Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/127,1044/4206
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 96,1044
Greatest Common Factor of Numerators i.e. GCF of 96,1044 is 12 .
LCM of Denominators means LCM of 127,4206 as per the given fractions.
LCM of 127,4206 is 534162 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,1044
2 | 96, 1044 |
2 | 48, 522 |
3 | 24, 261 |
8, 87 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
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 96,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1044 is 12.
Lets's calculate LCM of 127,4206
Given numbers has no common factors except 1. So, there LCM is their product i.e 534162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/534162
Therefore, the GCF of Fractions 96/127,1044/4206 is 12/534162
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 127,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,4206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,4206) x common factors =1 x 1 = 1
LCM(127,4206) = ( 127 × 4206 ) / 1
LCM(127,4206) = 534162 / 1
LCM(127,4206) = 534162
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 96/127, 1044/4206?
Answer: GCF of Numerators as per given numbers 96/127, 1044/4206 is
GCF of Numerators i.e. for 96,1044 is 12
LCM of denominators i.e. for 127,4206 is 534162.
Thus, GCF of Fractions is 12/534162.Finally, GCF of Fractions for 96/127, 1044/4206 is 12/534162.