Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 19/35,20/65,310/703
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 19,20,310
Greatest Common Factor of Numerators i.e. GCF of 19,20,310 is 1 .
LCM of Denominators means LCM of 35,65,703 as per the given fractions.
LCM of 35,65,703 is 319865 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 19,20,310
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 19,20,310 . The biggest common factor number is the GCF number.
So the greatest common factor 19,20,310 is 1.
Lets's calculate LCM of 35,65,703
5 | 35, 65, 703 |
7, 13, 703 |
∴ So the LCM of the given numbers is 5 x 7 x 13 x 703 = 319865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319865
Therefore, the GCF of Fractions 19/35,20/65,310/703 is 1/319865
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 35,65,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,65,703) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(35,65,703) x common factors =1 x 5 = 5
LCM(35,65,703) = ( 35 × 65 × 703 ) / 5
LCM(35,65,703) = 1599325 / 5
LCM(35,65,703) = 319865
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 19/35, 20/65, 310/703?
Answer: GCF of Numerators as per given numbers 19/35, 20/65, 310/703 is
GCF of Numerators i.e. for 19,20,310 is 1
LCM of denominators i.e. for 35,65,703 is 319865.
Thus, GCF of Fractions is 1/319865.Finally, GCF of Fractions for 19/35, 20/65, 310/703 is 1/319865.