Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 474/389,357/969
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 474,357
Greatest Common Factor of Numerators i.e. GCF of 474,357 is 3 .
LCM of Denominators means LCM of 389,969 as per the given fractions.
LCM of 389,969 is 376941 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 474,357
3 | 474, 357 |
158, 119 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 474,357 . The biggest common factor number is the GCF number.
So the greatest common factor 474,357 is 3.
Lets's calculate LCM of 389,969
Given numbers has no common factors except 1. So, there LCM is their product i.e 376941
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/376941
Therefore, the GCF of Fractions 474/389,357/969 is 3/376941
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 389,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,969) x common factors =1 x 1 = 1
LCM(389,969) = ( 389 × 969 ) / 1
LCM(389,969) = 376941 / 1
LCM(389,969) = 376941
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 474/389, 357/969?
Answer: GCF of Numerators as per given numbers 474/389, 357/969 is
GCF of Numerators i.e. for 474,357 is 3
LCM of denominators i.e. for 389,969 is 376941.
Thus, GCF of Fractions is 3/376941.Finally, GCF of Fractions for 474/389, 357/969 is 3/376941.