Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1377/40,4665/471
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 1377,4665
Greatest Common Factor of Numerators i.e. GCF of 1377,4665 is 3 .
LCM of Denominators means LCM of 40,471 as per the given fractions.
LCM of 40,471 is 18840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1377,4665
3 | 1377, 4665 |
459, 1555 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1377
List of positive integer factors of 1377 that divides 1377 without a remainder.
1,3,9,17,27,51,81,153,459,1377
Factors of 4665
List of positive integer factors of 4665 that divides 4665 without a remainder.
1,3,5,15,311,933,1555,4665
Greatest Common Factor
We found the factors 1377,4665 . The biggest common factor number is the GCF number.
So the greatest common factor 1377,4665 is 3.
Lets's calculate LCM of 40,471
Given numbers has no common factors except 1. So, there LCM is their product i.e 18840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18840
Therefore, the GCF of Fractions 1377/40,4665/471 is 3/18840
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 40,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,471) x common factors =1 x 1 = 1
LCM(40,471) = ( 40 × 471 ) / 1
LCM(40,471) = 18840 / 1
LCM(40,471) = 18840
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 1377/40, 4665/471?
Answer: GCF of Numerators as per given numbers 1377/40, 4665/471 is
GCF of Numerators i.e. for 1377,4665 is 3
LCM of denominators i.e. for 40,471 is 18840.
Thus, GCF of Fractions is 3/18840.Finally, GCF of Fractions for 1377/40, 4665/471 is 3/18840.