Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3994/912,9618/4382
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 3994,9618
Greatest Common Factor of Numerators i.e. GCF of 3994,9618 is 2 .
LCM of Denominators means LCM of 912,4382 as per the given fractions.
LCM of 912,4382 is 1998192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3994,9618
2 | 3994, 9618 |
1997, 4809 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3994
List of positive integer factors of 3994 that divides 3994 without a remainder.
1,2,1997,3994
Factors of 9618
List of positive integer factors of 9618 that divides 9618 without a remainder.
1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Greatest Common Factor
We found the factors 3994,9618 . The biggest common factor number is the GCF number.
So the greatest common factor 3994,9618 is 2.
Lets's calculate LCM of 912,4382
2 | 912, 4382 |
456, 2191 |
∴ So the LCM of the given numbers is 2 x 456 x 2191 = 1998192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1998192
Therefore, the GCF of Fractions 3994/912,9618/4382 is 2/1998192
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 912,4382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,4382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(912,4382) x common factors =2 x 1 = 2
LCM(912,4382) = ( 912 × 4382 ) / 2
LCM(912,4382) = 3996384 / 2
LCM(912,4382) = 1998192
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 3994/912, 9618/4382?
Answer: GCF of Numerators as per given numbers 3994/912, 9618/4382 is
GCF of Numerators i.e. for 3994,9618 is 2
LCM of denominators i.e. for 912,4382 is 1998192.
Thus, GCF of Fractions is 2/1998192.Finally, GCF of Fractions for 3994/912, 9618/4382 is 2/1998192.