Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/99,39/53,988/291
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 13,39,988
Greatest Common Factor of Numerators i.e. GCF of 13,39,988 is 13 .
LCM of Denominators means LCM of 99,53,291 as per the given fractions.
LCM of 99,53,291 is 508959 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,39,988
13 | 13, 39, 988 |
1, 3, 76 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
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 13,39,988 . The biggest common factor number is the GCF number.
So the greatest common factor 13,39,988 is 13.
Lets's calculate LCM of 99,53,291
3 | 99, 53, 291 |
33, 53, 97 |
∴ So the LCM of the given numbers is 3 x 33 x 53 x 97 = 508959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/508959
Therefore, the GCF of Fractions 13/99,39/53,988/291 is 13/508959
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 99,53,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,53,291) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(99,53,291) x common factors =1 x 3 = 3
LCM(99,53,291) = ( 99 × 53 × 291 ) / 3
LCM(99,53,291) = 1526877 / 3
LCM(99,53,291) = 508959
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 13/99, 39/53, 988/291?
Answer: GCF of Numerators as per given numbers 13/99, 39/53, 988/291 is
GCF of Numerators i.e. for 13,39,988 is 13
LCM of denominators i.e. for 99,53,291 is 508959.
Thus, GCF of Fractions is 13/508959.Finally, GCF of Fractions for 13/99, 39/53, 988/291 is 13/508959.