Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 719/36,721/15,818/192
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 719,721,818
Greatest Common Factor of Numerators i.e. GCF of 719,721,818 is 1 .
LCM of Denominators means LCM of 36,15,192 as per the given fractions.
LCM of 36,15,192 is 2880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 719,721,818
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 719,721,818 . The biggest common factor number is the GCF number.
So the greatest common factor 719,721,818 is 1.
Lets's calculate LCM of 36,15,192
2 | 36, 15, 192 |
2 | 18, 15, 96 |
3 | 9, 15, 48 |
3, 5, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 16 = 2880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2880
Therefore, the GCF of Fractions 719/36,721/15,818/192 is 1/2880
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 36,15,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,15,192) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(36,15,192) x common factors =3 x 12 = 36
LCM(36,15,192) = ( 36 × 15 × 192 ) / 36
LCM(36,15,192) = 103680 / 36
LCM(36,15,192) = 2880
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 719/36, 721/15, 818/192?
Answer: GCF of Numerators as per given numbers 719/36, 721/15, 818/192 is
GCF of Numerators i.e. for 719,721,818 is 1
LCM of denominators i.e. for 36,15,192 is 2880.
Thus, GCF of Fractions is 1/2880.Finally, GCF of Fractions for 719/36, 721/15, 818/192 is 1/2880.