Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/46,42/43,26/83
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 14,42,26
Greatest Common Factor of Numerators i.e. GCF of 14,42,26 is 2 .
LCM of Denominators means LCM of 46,43,83 as per the given fractions.
LCM of 46,43,83 is 164174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,42,26
2 | 14, 42, 26 |
7, 21, 13 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Greatest Common Factor
We found the factors 14,42,26 . The biggest common factor number is the GCF number.
So the greatest common factor 14,42,26 is 2.
Lets's calculate LCM of 46,43,83
Given numbers has no common factors except 1. So, there LCM is their product i.e 164174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/164174
Therefore, the GCF of Fractions 14/46,42/43,26/83 is 2/164174
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 46,43,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,43,83) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,43,83) x common factors =1 x 1 = 1
LCM(46,43,83) = ( 46 × 43 × 83 ) / 1
LCM(46,43,83) = 164174 / 1
LCM(46,43,83) = 164174
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 14/46, 42/43, 26/83?
Answer: GCF of Numerators as per given numbers 14/46, 42/43, 26/83 is
GCF of Numerators i.e. for 14,42,26 is 2
LCM of denominators i.e. for 46,43,83 is 164174.
Thus, GCF of Fractions is 2/164174.Finally, GCF of Fractions for 14/46, 42/43, 26/83 is 2/164174.