Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 70/22,43/26,44/43,96/230
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 70,43,44,96
Greatest Common Factor of Numerators i.e. GCF of 70,43,44,96 is 1 .
LCM of Denominators means LCM of 22,26,43,230 as per the given fractions.
LCM of 22,26,43,230 is 1414270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 70,43,44,96
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
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
Greatest Common Factor
We found the factors 70,43,44,96 . The biggest common factor number is the GCF number.
So the greatest common factor 70,43,44,96 is 1.
Lets's calculate LCM of 22,26,43,230
2 | 22, 26, 43, 230 |
11, 13, 43, 115 |
∴ So the LCM of the given numbers is 2 x 11 x 13 x 43 x 115 = 1414270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1414270
Therefore, the GCF of Fractions 70/22,43/26,44/43,96/230 is 1/1414270
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 22,26,43,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,26,43,230) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(22,26,43,230) x common factors =1 x 4 = 4
LCM(22,26,43,230) = ( 22 × 26 × 43 × 230 ) / 4
LCM(22,26,43,230) = 5657080 / 4
LCM(22,26,43,230) = 1414270
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 70/22, 43/26, 44/43, 96/230?
Answer: GCF of Numerators as per given numbers 70/22, 43/26, 44/43, 96/230 is
GCF of Numerators i.e. for 70,43,44,96 is 1
LCM of denominators i.e. for 22,26,43,230 is 1414270.
Thus, GCF of Fractions is 1/1414270.Finally, GCF of Fractions for 70/22, 43/26, 44/43, 96/230 is 1/1414270.