Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6330/132,7768/5255
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 6330,7768
Greatest Common Factor of Numerators i.e. GCF of 6330,7768 is 2 .
LCM of Denominators means LCM of 132,5255 as per the given fractions.
LCM of 132,5255 is 693660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6330,7768
2 | 6330, 7768 |
3165, 3884 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6330
List of positive integer factors of 6330 that divides 6330 without a remainder.
1,2,3,5,6,10,15,30,211,422,633,1055,1266,2110,3165,6330
Factors of 7768
List of positive integer factors of 7768 that divides 7768 without a remainder.
1,2,4,8,971,1942,3884,7768
Greatest Common Factor
We found the factors 6330,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 6330,7768 is 2.
Lets's calculate LCM of 132,5255
Given numbers has no common factors except 1. So, there LCM is their product i.e 693660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/693660
Therefore, the GCF of Fractions 6330/132,7768/5255 is 2/693660
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 132,5255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,5255) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(132,5255) x common factors =1 x 1 = 1
LCM(132,5255) = ( 132 × 5255 ) / 1
LCM(132,5255) = 693660 / 1
LCM(132,5255) = 693660
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 6330/132, 7768/5255?
Answer: GCF of Numerators as per given numbers 6330/132, 7768/5255 is
GCF of Numerators i.e. for 6330,7768 is 2
LCM of denominators i.e. for 132,5255 is 693660.
Thus, GCF of Fractions is 2/693660.Finally, GCF of Fractions for 6330/132, 7768/5255 is 2/693660.