Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1315/960,8189/961
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 1315,8189
Greatest Common Factor of Numerators i.e. GCF of 1315,8189 is 1 .
LCM of Denominators means LCM of 960,961 as per the given fractions.
LCM of 960,961 is 922560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1315,8189
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1315
List of positive integer factors of 1315 that divides 1315 without a remainder.
1,5,263,1315
Factors of 8189
List of positive integer factors of 8189 that divides 8189 without a remainder.
1,19,431,8189
Greatest Common Factor
We found the factors 1315,8189 . The biggest common factor number is the GCF number.
So the greatest common factor 1315,8189 is 1.
Lets's calculate LCM of 960,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 922560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/922560
Therefore, the GCF of Fractions 1315/960,8189/961 is 1/922560
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 960,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(960,961) x common factors =1 x 1 = 1
LCM(960,961) = ( 960 × 961 ) / 1
LCM(960,961) = 922560 / 1
LCM(960,961) = 922560
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 1315/960, 8189/961?
Answer: GCF of Numerators as per given numbers 1315/960, 8189/961 is
GCF of Numerators i.e. for 1315,8189 is 1
LCM of denominators i.e. for 960,961 is 922560.
Thus, GCF of Fractions is 1/922560.Finally, GCF of Fractions for 1315/960, 8189/961 is 1/922560.