Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6052/386,9681/4708
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 6052,9681
Greatest Common Factor of Numerators i.e. GCF of 6052,9681 is 1 .
LCM of Denominators means LCM of 386,4708 as per the given fractions.
LCM of 386,4708 is 908644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6052,9681
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6052
List of positive integer factors of 6052 that divides 6052 without a remainder.
1,2,4,17,34,68,89,178,356,1513,3026,6052
Factors of 9681
List of positive integer factors of 9681 that divides 9681 without a remainder.
1,3,7,21,461,1383,3227,9681
Greatest Common Factor
We found the factors 6052,9681 . The biggest common factor number is the GCF number.
So the greatest common factor 6052,9681 is 1.
Lets's calculate LCM of 386,4708
2 | 386, 4708 |
193, 2354 |
∴ So the LCM of the given numbers is 2 x 193 x 2354 = 908644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/908644
Therefore, the GCF of Fractions 6052/386,9681/4708 is 1/908644
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 386,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,4708) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,4708) x common factors =2 x 1 = 2
LCM(386,4708) = ( 386 × 4708 ) / 2
LCM(386,4708) = 1817288 / 2
LCM(386,4708) = 908644
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 6052/386, 9681/4708?
Answer: GCF of Numerators as per given numbers 6052/386, 9681/4708 is
GCF of Numerators i.e. for 6052,9681 is 1
LCM of denominators i.e. for 386,4708 is 908644.
Thus, GCF of Fractions is 1/908644.Finally, GCF of Fractions for 6052/386, 9681/4708 is 1/908644.