Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9246/396,3853/6112
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 9246,3853
Greatest Common Factor of Numerators i.e. GCF of 9246,3853 is 1 .
LCM of Denominators means LCM of 396,6112 as per the given fractions.
LCM of 396,6112 is 605088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9246,3853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9246
List of positive integer factors of 9246 that divides 9246 without a remainder.
1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Factors of 3853
List of positive integer factors of 3853 that divides 3853 without a remainder.
1,3853
Greatest Common Factor
We found the factors 9246,3853 . The biggest common factor number is the GCF number.
So the greatest common factor 9246,3853 is 1.
Lets's calculate LCM of 396,6112
2 | 396, 6112 |
2 | 198, 3056 |
99, 1528 |
∴ So the LCM of the given numbers is 2 x 2 x 99 x 1528 = 605088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605088
Therefore, the GCF of Fractions 9246/396,3853/6112 is 1/605088
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 396,6112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,6112) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(396,6112) x common factors =4 x 1 = 4
LCM(396,6112) = ( 396 × 6112 ) / 4
LCM(396,6112) = 2420352 / 4
LCM(396,6112) = 605088
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 9246/396, 3853/6112?
Answer: GCF of Numerators as per given numbers 9246/396, 3853/6112 is
GCF of Numerators i.e. for 9246,3853 is 1
LCM of denominators i.e. for 396,6112 is 605088.
Thus, GCF of Fractions is 1/605088.Finally, GCF of Fractions for 9246/396, 3853/6112 is 1/605088.