Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3737/744,9830/2445
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 3737,9830
Greatest Common Factor of Numerators i.e. GCF of 3737,9830 is 1 .
LCM of Denominators means LCM of 744,2445 as per the given fractions.
LCM of 744,2445 is 606360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3737,9830
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3737
List of positive integer factors of 3737 that divides 3737 without a remainder.
1,37,101,3737
Factors of 9830
List of positive integer factors of 9830 that divides 9830 without a remainder.
1,2,5,10,983,1966,4915,9830
Greatest Common Factor
We found the factors 3737,9830 . The biggest common factor number is the GCF number.
So the greatest common factor 3737,9830 is 1.
Lets's calculate LCM of 744,2445
3 | 744, 2445 |
248, 815 |
∴ So the LCM of the given numbers is 3 x 248 x 815 = 606360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/606360
Therefore, the GCF of Fractions 3737/744,9830/2445 is 1/606360
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 744,2445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,2445) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(744,2445) x common factors =3 x 1 = 3
LCM(744,2445) = ( 744 × 2445 ) / 3
LCM(744,2445) = 1819080 / 3
LCM(744,2445) = 606360
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 3737/744, 9830/2445?
Answer: GCF of Numerators as per given numbers 3737/744, 9830/2445 is
GCF of Numerators i.e. for 3737,9830 is 1
LCM of denominators i.e. for 744,2445 is 606360.
Thus, GCF of Fractions is 1/606360.Finally, GCF of Fractions for 3737/744, 9830/2445 is 1/606360.