Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8481/884,7077/6096
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 8481,7077
Greatest Common Factor of Numerators i.e. GCF of 8481,7077 is 3 .
LCM of Denominators means LCM of 884,6096 as per the given fractions.
LCM of 884,6096 is 1347216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8481,7077
3 | 8481, 7077 |
2827, 2359 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8481
List of positive integer factors of 8481 that divides 8481 without a remainder.
1,3,11,33,257,771,2827,8481
Factors of 7077
List of positive integer factors of 7077 that divides 7077 without a remainder.
1,3,7,21,337,1011,2359,7077
Greatest Common Factor
We found the factors 8481,7077 . The biggest common factor number is the GCF number.
So the greatest common factor 8481,7077 is 3.
Lets's calculate LCM of 884,6096
2 | 884, 6096 |
2 | 442, 3048 |
221, 1524 |
∴ So the LCM of the given numbers is 2 x 2 x 221 x 1524 = 1347216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1347216
Therefore, the GCF of Fractions 8481/884,7077/6096 is 3/1347216
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 884,6096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,6096) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(884,6096) x common factors =4 x 1 = 4
LCM(884,6096) = ( 884 × 6096 ) / 4
LCM(884,6096) = 5388864 / 4
LCM(884,6096) = 1347216
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 8481/884, 7077/6096?
Answer: GCF of Numerators as per given numbers 8481/884, 7077/6096 is
GCF of Numerators i.e. for 8481,7077 is 3
LCM of denominators i.e. for 884,6096 is 1347216.
Thus, GCF of Fractions is 3/1347216.Finally, GCF of Fractions for 8481/884, 7077/6096 is 3/1347216.