Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 372/445,3847/984
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 372,3847
Greatest Common Factor of Numerators i.e. GCF of 372,3847 is 1 .
LCM of Denominators means LCM of 445,984 as per the given fractions.
LCM of 445,984 is 437880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 372,3847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 3847
List of positive integer factors of 3847 that divides 3847 without a remainder.
1,3847
Greatest Common Factor
We found the factors 372,3847 . The biggest common factor number is the GCF number.
So the greatest common factor 372,3847 is 1.
Lets's calculate LCM of 445,984
Given numbers has no common factors except 1. So, there LCM is their product i.e 437880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/437880
Therefore, the GCF of Fractions 372/445,3847/984 is 1/437880
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 445,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,984) x common factors =1 x 1 = 1
LCM(445,984) = ( 445 × 984 ) / 1
LCM(445,984) = 437880 / 1
LCM(445,984) = 437880
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 372/445, 3847/984?
Answer: GCF of Numerators as per given numbers 372/445, 3847/984 is
GCF of Numerators i.e. for 372,3847 is 1
LCM of denominators i.e. for 445,984 is 437880.
Thus, GCF of Fractions is 1/437880.Finally, GCF of Fractions for 372/445, 3847/984 is 1/437880.