Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8994/23,8798/388
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 8994,8798
Greatest Common Factor of Numerators i.e. GCF of 8994,8798 is 2 .
LCM of Denominators means LCM of 23,388 as per the given fractions.
LCM of 23,388 is 8924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8994,8798
2 | 8994, 8798 |
4497, 4399 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8994
List of positive integer factors of 8994 that divides 8994 without a remainder.
1,2,3,6,1499,2998,4497,8994
Factors of 8798
List of positive integer factors of 8798 that divides 8798 without a remainder.
1,2,53,83,106,166,4399,8798
Greatest Common Factor
We found the factors 8994,8798 . The biggest common factor number is the GCF number.
So the greatest common factor 8994,8798 is 2.
Lets's calculate LCM of 23,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 8924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8924
Therefore, the GCF of Fractions 8994/23,8798/388 is 2/8924
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 23,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,388) x common factors =1 x 1 = 1
LCM(23,388) = ( 23 × 388 ) / 1
LCM(23,388) = 8924 / 1
LCM(23,388) = 8924
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 8994/23, 8798/388?
Answer: GCF of Numerators as per given numbers 8994/23, 8798/388 is
GCF of Numerators i.e. for 8994,8798 is 2
LCM of denominators i.e. for 23,388 is 8924.
Thus, GCF of Fractions is 2/8924.Finally, GCF of Fractions for 8994/23, 8798/388 is 2/8924.