Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1523/50,5147/338
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 1523,5147
Greatest Common Factor of Numerators i.e. GCF of 1523,5147 is 1 .
LCM of Denominators means LCM of 50,338 as per the given fractions.
LCM of 50,338 is 8450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1523,5147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1523
List of positive integer factors of 1523 that divides 1523 without a remainder.
1,1523
Factors of 5147
List of positive integer factors of 5147 that divides 5147 without a remainder.
1,5147
Greatest Common Factor
We found the factors 1523,5147 . The biggest common factor number is the GCF number.
So the greatest common factor 1523,5147 is 1.
Lets's calculate LCM of 50,338
2 | 50, 338 |
25, 169 |
∴ So the LCM of the given numbers is 2 x 25 x 169 = 8450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8450
Therefore, the GCF of Fractions 1523/50,5147/338 is 1/8450
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 50,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,338) x common factors =2 x 1 = 2
LCM(50,338) = ( 50 × 338 ) / 2
LCM(50,338) = 16900 / 2
LCM(50,338) = 8450
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 1523/50, 5147/338?
Answer: GCF of Numerators as per given numbers 1523/50, 5147/338 is
GCF of Numerators i.e. for 1523,5147 is 1
LCM of denominators i.e. for 50,338 is 8450.
Thus, GCF of Fractions is 1/8450.Finally, GCF of Fractions for 1523/50, 5147/338 is 1/8450.