Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/178,44/255,296/842
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 14,44,296
Greatest Common Factor of Numerators i.e. GCF of 14,44,296 is 2 .
LCM of Denominators means LCM of 178,255,842 as per the given fractions.
LCM of 178,255,842 is 19109190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,44,296
2 | 14, 44, 296 |
7, 22, 148 |
∴ 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 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 14,44,296 . The biggest common factor number is the GCF number.
So the greatest common factor 14,44,296 is 2.
Lets's calculate LCM of 178,255,842
2 | 178, 255, 842 |
89, 255, 421 |
∴ So the LCM of the given numbers is 2 x 89 x 255 x 421 = 19109190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19109190
Therefore, the GCF of Fractions 14/178,44/255,296/842 is 2/19109190
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 178,255,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,255,842) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(178,255,842) x common factors =1 x 2 = 2
LCM(178,255,842) = ( 178 × 255 × 842 ) / 2
LCM(178,255,842) = 38218380 / 2
LCM(178,255,842) = 19109190
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 14/178, 44/255, 296/842?
Answer: GCF of Numerators as per given numbers 14/178, 44/255, 296/842 is
GCF of Numerators i.e. for 14,44,296 is 2
LCM of denominators i.e. for 178,255,842 is 19109190.
Thus, GCF of Fractions is 2/19109190.Finally, GCF of Fractions for 14/178, 44/255, 296/842 is 2/19109190.