Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 612/5777,792/6533
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 612,792
Greatest Common Factor of Numerators i.e. GCF of 612,792 is 36 .
LCM of Denominators means LCM of 5777,6533 as per the given fractions.
LCM of 5777,6533 is 37741141 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 612,792
2 | 612, 792 |
2 | 306, 396 |
3 | 153, 198 |
3 | 51, 66 |
17, 22 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 612,792 . The biggest common factor number is the GCF number.
So the greatest common factor 612,792 is 36.
Lets's calculate LCM of 5777,6533
Given numbers has no common factors except 1. So, there LCM is their product i.e 37741141
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/37741141
Therefore, the GCF of Fractions 612/5777,792/6533 is 36/37741141
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 5777,6533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5777,6533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5777,6533) x common factors =1 x 1 = 1
LCM(5777,6533) = ( 5777 × 6533 ) / 1
LCM(5777,6533) = 37741141 / 1
LCM(5777,6533) = 37741141
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 612/5777, 792/6533?
Answer: GCF of Numerators as per given numbers 612/5777, 792/6533 is
GCF of Numerators i.e. for 612,792 is 36
LCM of denominators i.e. for 5777,6533 is 37741141.
Thus, GCF of Fractions is 36/37741141.Finally, GCF of Fractions for 612/5777, 792/6533 is 36/37741141.