Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/399,7985/606
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 793,7985
Greatest Common Factor of Numerators i.e. GCF of 793,7985 is 1 .
LCM of Denominators means LCM of 399,606 as per the given fractions.
LCM of 399,606 is 80598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 793,7985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 7985
List of positive integer factors of 7985 that divides 7985 without a remainder.
1,5,1597,7985
Greatest Common Factor
We found the factors 793,7985 . The biggest common factor number is the GCF number.
So the greatest common factor 793,7985 is 1.
Lets's calculate LCM of 399,606
3 | 399, 606 |
133, 202 |
∴ So the LCM of the given numbers is 3 x 133 x 202 = 80598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80598
Therefore, the GCF of Fractions 793/399,7985/606 is 1/80598
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 399,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,606) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(399,606) x common factors =3 x 1 = 3
LCM(399,606) = ( 399 × 606 ) / 3
LCM(399,606) = 241794 / 3
LCM(399,606) = 80598
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 793/399, 7985/606?
Answer: GCF of Numerators as per given numbers 793/399, 7985/606 is
GCF of Numerators i.e. for 793,7985 is 1
LCM of denominators i.e. for 399,606 is 80598.
Thus, GCF of Fractions is 1/80598.Finally, GCF of Fractions for 793/399, 7985/606 is 1/80598.