Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1845/398,4775/661
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 1845,4775
Greatest Common Factor of Numerators i.e. GCF of 1845,4775 is 5 .
LCM of Denominators means LCM of 398,661 as per the given fractions.
LCM of 398,661 is 263078 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1845,4775
5 | 1845, 4775 |
369, 955 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 1845
List of positive integer factors of 1845 that divides 1845 without a remainder.
1,3,5,9,15,41,45,123,205,369,615,1845
Factors of 4775
List of positive integer factors of 4775 that divides 4775 without a remainder.
1,5,25,191,955,4775
Greatest Common Factor
We found the factors 1845,4775 . The biggest common factor number is the GCF number.
So the greatest common factor 1845,4775 is 5.
Lets's calculate LCM of 398,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 263078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/263078
Therefore, the GCF of Fractions 1845/398,4775/661 is 5/263078
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 398,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,661) x common factors =1 x 1 = 1
LCM(398,661) = ( 398 × 661 ) / 1
LCM(398,661) = 263078 / 1
LCM(398,661) = 263078
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 1845/398, 4775/661?
Answer: GCF of Numerators as per given numbers 1845/398, 4775/661 is
GCF of Numerators i.e. for 1845,4775 is 5
LCM of denominators i.e. for 398,661 is 263078.
Thus, GCF of Fractions is 5/263078.Finally, GCF of Fractions for 1845/398, 4775/661 is 5/263078.