Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 308/45,182/5098
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 308,182
Greatest Common Factor of Numerators i.e. GCF of 308,182 is 14 .
LCM of Denominators means LCM of 45,5098 as per the given fractions.
LCM of 45,5098 is 229410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 308,182
2 | 308, 182 |
7 | 154, 91 |
22, 13 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 308,182 . The biggest common factor number is the GCF number.
So the greatest common factor 308,182 is 14.
Lets's calculate LCM of 45,5098
Given numbers has no common factors except 1. So, there LCM is their product i.e 229410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/229410
Therefore, the GCF of Fractions 308/45,182/5098 is 14/229410
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 45,5098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,5098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,5098) x common factors =1 x 1 = 1
LCM(45,5098) = ( 45 × 5098 ) / 1
LCM(45,5098) = 229410 / 1
LCM(45,5098) = 229410
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 308/45, 182/5098?
Answer: GCF of Numerators as per given numbers 308/45, 182/5098 is
GCF of Numerators i.e. for 308,182 is 14
LCM of denominators i.e. for 45,5098 is 229410.
Thus, GCF of Fractions is 14/229410.Finally, GCF of Fractions for 308/45, 182/5098 is 14/229410.