Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 308/225,433/560
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 308,433
Greatest Common Factor of Numerators i.e. GCF of 308,433 is 1 .
LCM of Denominators means LCM of 225,560 as per the given fractions.
LCM of 225,560 is 25200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 308,433
∴ So GCF of numbers is 1 because of no common factors present between them.
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 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 308,433 . The biggest common factor number is the GCF number.
So the greatest common factor 308,433 is 1.
Lets's calculate LCM of 225,560
5 | 225, 560 |
45, 112 |
∴ So the LCM of the given numbers is 5 x 45 x 112 = 25200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25200
Therefore, the GCF of Fractions 308/225,433/560 is 1/25200
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 225,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,560) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(225,560) x common factors =5 x 1 = 5
LCM(225,560) = ( 225 × 560 ) / 5
LCM(225,560) = 126000 / 5
LCM(225,560) = 25200
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 308/225, 433/560?
Answer: GCF of Numerators as per given numbers 308/225, 433/560 is
GCF of Numerators i.e. for 308,433 is 1
LCM of denominators i.e. for 225,560 is 25200.
Thus, GCF of Fractions is 1/25200.Finally, GCF of Fractions for 308/225, 433/560 is 1/25200.