Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9118/19,9966/967
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 9118,9966
Greatest Common Factor of Numerators i.e. GCF of 9118,9966 is 2 .
LCM of Denominators means LCM of 19,967 as per the given fractions.
LCM of 19,967 is 18373 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9118,9966
2 | 9118, 9966 |
4559, 4983 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9118
List of positive integer factors of 9118 that divides 9118 without a remainder.
1,2,47,94,97,194,4559,9118
Factors of 9966
List of positive integer factors of 9966 that divides 9966 without a remainder.
1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Greatest Common Factor
We found the factors 9118,9966 . The biggest common factor number is the GCF number.
So the greatest common factor 9118,9966 is 2.
Lets's calculate LCM of 19,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 18373
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18373
Therefore, the GCF of Fractions 9118/19,9966/967 is 2/18373
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 19,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,967) x common factors =1 x 1 = 1
LCM(19,967) = ( 19 × 967 ) / 1
LCM(19,967) = 18373 / 1
LCM(19,967) = 18373
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 9118/19, 9966/967?
Answer: GCF of Numerators as per given numbers 9118/19, 9966/967 is
GCF of Numerators i.e. for 9118,9966 is 2
LCM of denominators i.e. for 19,967 is 18373.
Thus, GCF of Fractions is 2/18373.Finally, GCF of Fractions for 9118/19, 9966/967 is 2/18373.