Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3323/967,5953/816
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 3323,5953
Greatest Common Factor of Numerators i.e. GCF of 3323,5953 is 1 .
LCM of Denominators means LCM of 967,816 as per the given fractions.
LCM of 967,816 is 789072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3323,5953
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3323
List of positive integer factors of 3323 that divides 3323 without a remainder.
1,3323
Factors of 5953
List of positive integer factors of 5953 that divides 5953 without a remainder.
1,5953
Greatest Common Factor
We found the factors 3323,5953 . The biggest common factor number is the GCF number.
So the greatest common factor 3323,5953 is 1.
Lets's calculate LCM of 967,816
Given numbers has no common factors except 1. So, there LCM is their product i.e 789072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/789072
Therefore, the GCF of Fractions 3323/967,5953/816 is 1/789072
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 967,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,816) x common factors =1 x 1 = 1
LCM(967,816) = ( 967 × 816 ) / 1
LCM(967,816) = 789072 / 1
LCM(967,816) = 789072
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 3323/967, 5953/816?
Answer: GCF of Numerators as per given numbers 3323/967, 5953/816 is
GCF of Numerators i.e. for 3323,5953 is 1
LCM of denominators i.e. for 967,816 is 789072.
Thus, GCF of Fractions is 1/789072.Finally, GCF of Fractions for 3323/967, 5953/816 is 1/789072.