Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 738/39,325/12,979/42
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 738,325,979
Greatest Common Factor of Numerators i.e. GCF of 738,325,979 is 1 .
LCM of Denominators means LCM of 39,12,42 as per the given fractions.
LCM of 39,12,42 is 1092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 738,325,979
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Greatest Common Factor
We found the factors 738,325,979 . The biggest common factor number is the GCF number.
So the greatest common factor 738,325,979 is 1.
Lets's calculate LCM of 39,12,42
2 | 39, 12, 42 |
3 | 39, 6, 21 |
13, 2, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 2 x 7 = 1092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092
Therefore, the GCF of Fractions 738/39,325/12,979/42 is 1/1092
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 39,12,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,12,42) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(39,12,42) x common factors =3 x 6 = 18
LCM(39,12,42) = ( 39 × 12 × 42 ) / 18
LCM(39,12,42) = 19656 / 18
LCM(39,12,42) = 1092
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 738/39, 325/12, 979/42?
Answer: GCF of Numerators as per given numbers 738/39, 325/12, 979/42 is
GCF of Numerators i.e. for 738,325,979 is 1
LCM of denominators i.e. for 39,12,42 is 1092.
Thus, GCF of Fractions is 1/1092.Finally, GCF of Fractions for 738/39, 325/12, 979/42 is 1/1092.