Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 113/50,485/8248
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 113,485
Greatest Common Factor of Numerators i.e. GCF of 113,485 is 1 .
LCM of Denominators means LCM of 50,8248 as per the given fractions.
LCM of 50,8248 is 206200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 113,485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Greatest Common Factor
We found the factors 113,485 . The biggest common factor number is the GCF number.
So the greatest common factor 113,485 is 1.
Lets's calculate LCM of 50,8248
2 | 50, 8248 |
25, 4124 |
∴ So the LCM of the given numbers is 2 x 25 x 4124 = 206200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206200
Therefore, the GCF of Fractions 113/50,485/8248 is 1/206200
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 50,8248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,8248) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,8248) x common factors =2 x 1 = 2
LCM(50,8248) = ( 50 × 8248 ) / 2
LCM(50,8248) = 412400 / 2
LCM(50,8248) = 206200
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 113/50, 485/8248?
Answer: GCF of Numerators as per given numbers 113/50, 485/8248 is
GCF of Numerators i.e. for 113,485 is 1
LCM of denominators i.e. for 50,8248 is 206200.
Thus, GCF of Fractions is 1/206200.Finally, GCF of Fractions for 113/50, 485/8248 is 1/206200.