Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 298/16,5220/362
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 298,5220
Greatest Common Factor of Numerators i.e. GCF of 298,5220 is 2 .
LCM of Denominators means LCM of 16,362 as per the given fractions.
LCM of 16,362 is 2896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 298,5220
2 | 298, 5220 |
149, 2610 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 5220
List of positive integer factors of 5220 that divides 5220 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,29,30,36,45,58,60,87,90,116,145,174,180,261,290,348,435,522,580,870,1044,1305,1740,2610,5220
Greatest Common Factor
We found the factors 298,5220 . The biggest common factor number is the GCF number.
So the greatest common factor 298,5220 is 2.
Lets's calculate LCM of 16,362
2 | 16, 362 |
8, 181 |
∴ So the LCM of the given numbers is 2 x 8 x 181 = 2896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2896
Therefore, the GCF of Fractions 298/16,5220/362 is 2/2896
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 16,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,362) x common factors =2 x 1 = 2
LCM(16,362) = ( 16 × 362 ) / 2
LCM(16,362) = 5792 / 2
LCM(16,362) = 2896
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 298/16, 5220/362?
Answer: GCF of Numerators as per given numbers 298/16, 5220/362 is
GCF of Numerators i.e. for 298,5220 is 2
LCM of denominators i.e. for 16,362 is 2896.
Thus, GCF of Fractions is 2/2896.Finally, GCF of Fractions for 298/16, 5220/362 is 2/2896.