Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 966/386,7357/1431
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 966,7357
Greatest Common Factor of Numerators i.e. GCF of 966,7357 is 7 .
LCM of Denominators means LCM of 386,1431 as per the given fractions.
LCM of 386,1431 is 552366 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 966,7357
7 | 966, 7357 |
138, 1051 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 7357
List of positive integer factors of 7357 that divides 7357 without a remainder.
1,7,1051,7357
Greatest Common Factor
We found the factors 966,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 966,7357 is 7.
Lets's calculate LCM of 386,1431
Given numbers has no common factors except 1. So, there LCM is their product i.e 552366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/552366
Therefore, the GCF of Fractions 966/386,7357/1431 is 7/552366
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 386,1431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,1431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,1431) x common factors =1 x 1 = 1
LCM(386,1431) = ( 386 × 1431 ) / 1
LCM(386,1431) = 552366 / 1
LCM(386,1431) = 552366
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 966/386, 7357/1431?
Answer: GCF of Numerators as per given numbers 966/386, 7357/1431 is
GCF of Numerators i.e. for 966,7357 is 7
LCM of denominators i.e. for 386,1431 is 552366.
Thus, GCF of Fractions is 7/552366.Finally, GCF of Fractions for 966/386, 7357/1431 is 7/552366.