Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/16,54/46,29/43,234/44
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 95,54,29,234
Greatest Common Factor of Numerators i.e. GCF of 95,54,29,234 is 1 .
LCM of Denominators means LCM of 16,46,43,44 as per the given fractions.
LCM of 16,46,43,44 is 174064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,54,29,234
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 95,54,29,234 . The biggest common factor number is the GCF number.
So the greatest common factor 95,54,29,234 is 1.
Lets's calculate LCM of 16,46,43,44
2 | 16, 46, 43, 44 |
2 | 8, 23, 43, 22 |
4, 23, 43, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 23 x 43 x 11 = 174064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174064
Therefore, the GCF of Fractions 95/16,54/46,29/43,234/44 is 1/174064
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 16,46,43,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,46,43,44) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(16,46,43,44) x common factors =1 x 8 = 8
LCM(16,46,43,44) = ( 16 × 46 × 43 × 44 ) / 8
LCM(16,46,43,44) = 1392512 / 8
LCM(16,46,43,44) = 174064
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 95/16, 54/46, 29/43, 234/44?
Answer: GCF of Numerators as per given numbers 95/16, 54/46, 29/43, 234/44 is
GCF of Numerators i.e. for 95,54,29,234 is 1
LCM of denominators i.e. for 16,46,43,44 is 174064.
Thus, GCF of Fractions is 1/174064.Finally, GCF of Fractions for 95/16, 54/46, 29/43, 234/44 is 1/174064.