Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3294/91,9820/439
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 3294,9820
Greatest Common Factor of Numerators i.e. GCF of 3294,9820 is 2 .
LCM of Denominators means LCM of 91,439 as per the given fractions.
LCM of 91,439 is 39949 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3294,9820
2 | 3294, 9820 |
1647, 4910 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3294
List of positive integer factors of 3294 that divides 3294 without a remainder.
1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294
Factors of 9820
List of positive integer factors of 9820 that divides 9820 without a remainder.
1,2,4,5,10,20,491,982,1964,2455,4910,9820
Greatest Common Factor
We found the factors 3294,9820 . The biggest common factor number is the GCF number.
So the greatest common factor 3294,9820 is 2.
Lets's calculate LCM of 91,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 39949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39949
Therefore, the GCF of Fractions 3294/91,9820/439 is 2/39949
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 91,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,439) x common factors =1 x 1 = 1
LCM(91,439) = ( 91 × 439 ) / 1
LCM(91,439) = 39949 / 1
LCM(91,439) = 39949
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 3294/91, 9820/439?
Answer: GCF of Numerators as per given numbers 3294/91, 9820/439 is
GCF of Numerators i.e. for 3294,9820 is 2
LCM of denominators i.e. for 91,439 is 39949.
Thus, GCF of Fractions is 2/39949.Finally, GCF of Fractions for 3294/91, 9820/439 is 2/39949.