Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 146/391,146/963
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 146,146
Greatest Common Factor of Numerators i.e. GCF of 146,146 is 146 .
LCM of Denominators means LCM of 391,963 as per the given fractions.
LCM of 391,963 is 376533 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 146,146
2 | 146, 146 |
73 | 73, 73 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 73 = 146
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 146,146 . The biggest common factor number is the GCF number.
So the greatest common factor 146,146 is 146.
Lets's calculate LCM of 391,963
Given numbers has no common factors except 1. So, there LCM is their product i.e 376533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 146/376533
Therefore, the GCF of Fractions 146/391,146/963 is 146/376533
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 391,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,963) x common factors =1 x 1 = 1
LCM(391,963) = ( 391 × 963 ) / 1
LCM(391,963) = 376533 / 1
LCM(391,963) = 376533
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 146/391, 146/963?
Answer: GCF of Numerators as per given numbers 146/391, 146/963 is
GCF of Numerators i.e. for 146,146 is 146
LCM of denominators i.e. for 391,963 is 376533.
Thus, GCF of Fractions is 146/376533.Finally, GCF of Fractions for 146/391, 146/963 is 146/376533.