Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 317/80,696/198
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 317,696
Greatest Common Factor of Numerators i.e. GCF of 317,696 is 1 .
LCM of Denominators means LCM of 80,198 as per the given fractions.
LCM of 80,198 is 7920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 317,696
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 317,696 . The biggest common factor number is the GCF number.
So the greatest common factor 317,696 is 1.
Lets's calculate LCM of 80,198
2 | 80, 198 |
40, 99 |
∴ So the LCM of the given numbers is 2 x 40 x 99 = 7920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7920
Therefore, the GCF of Fractions 317/80,696/198 is 1/7920
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 80,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(80,198) x common factors =2 x 1 = 2
LCM(80,198) = ( 80 × 198 ) / 2
LCM(80,198) = 15840 / 2
LCM(80,198) = 7920
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 317/80, 696/198?
Answer: GCF of Numerators as per given numbers 317/80, 696/198 is
GCF of Numerators i.e. for 317,696 is 1
LCM of denominators i.e. for 80,198 is 7920.
Thus, GCF of Fractions is 1/7920.Finally, GCF of Fractions for 317/80, 696/198 is 1/7920.