Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3984/428,9486/4877
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 3984,9486
Greatest Common Factor of Numerators i.e. GCF of 3984,9486 is 6 .
LCM of Denominators means LCM of 428,4877 as per the given fractions.
LCM of 428,4877 is 2087356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3984,9486
2 | 3984, 9486 |
3 | 1992, 4743 |
664, 1581 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 3984
List of positive integer factors of 3984 that divides 3984 without a remainder.
1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984
Factors of 9486
List of positive integer factors of 9486 that divides 9486 without a remainder.
1,2,3,6,9,17,18,31,34,51,62,93,102,153,186,279,306,527,558,1054,1581,3162,4743,9486
Greatest Common Factor
We found the factors 3984,9486 . The biggest common factor number is the GCF number.
So the greatest common factor 3984,9486 is 6.
Lets's calculate LCM of 428,4877
Given numbers has no common factors except 1. So, there LCM is their product i.e 2087356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2087356
Therefore, the GCF of Fractions 3984/428,9486/4877 is 6/2087356
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 428,4877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,4877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(428,4877) x common factors =1 x 1 = 1
LCM(428,4877) = ( 428 × 4877 ) / 1
LCM(428,4877) = 2087356 / 1
LCM(428,4877) = 2087356
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 3984/428, 9486/4877?
Answer: GCF of Numerators as per given numbers 3984/428, 9486/4877 is
GCF of Numerators i.e. for 3984,9486 is 6
LCM of denominators i.e. for 428,4877 is 2087356.
Thus, GCF of Fractions is 6/2087356.Finally, GCF of Fractions for 3984/428, 9486/4877 is 6/2087356.