Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 323/18,988/307
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 323,988
Greatest Common Factor of Numerators i.e. GCF of 323,988 is 19 .
LCM of Denominators means LCM of 18,307 as per the given fractions.
LCM of 18,307 is 5526 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 323,988
19 | 323, 988 |
17, 52 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 323,988 . The biggest common factor number is the GCF number.
So the greatest common factor 323,988 is 19.
Lets's calculate LCM of 18,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 5526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/5526
Therefore, the GCF of Fractions 323/18,988/307 is 19/5526
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 18,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,307) x common factors =1 x 1 = 1
LCM(18,307) = ( 18 × 307 ) / 1
LCM(18,307) = 5526 / 1
LCM(18,307) = 5526
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 323/18, 988/307?
Answer: GCF of Numerators as per given numbers 323/18, 988/307 is
GCF of Numerators i.e. for 323,988 is 19
LCM of denominators i.e. for 18,307 is 5526.
Thus, GCF of Fractions is 19/5526.Finally, GCF of Fractions for 323/18, 988/307 is 19/5526.