Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/53,53/69,199/15
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 36,53,199
Greatest Common Factor of Numerators i.e. GCF of 36,53,199 is 1 .
LCM of Denominators means LCM of 53,69,15 as per the given fractions.
LCM of 53,69,15 is 18285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,53,199
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Greatest Common Factor
We found the factors 36,53,199 . The biggest common factor number is the GCF number.
So the greatest common factor 36,53,199 is 1.
Lets's calculate LCM of 53,69,15
3 | 53, 69, 15 |
53, 23, 5 |
∴ So the LCM of the given numbers is 3 x 53 x 23 x 5 = 18285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18285
Therefore, the GCF of Fractions 36/53,53/69,199/15 is 1/18285
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 53,69,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,69,15) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(53,69,15) x common factors =1 x 3 = 3
LCM(53,69,15) = ( 53 × 69 × 15 ) / 3
LCM(53,69,15) = 54855 / 3
LCM(53,69,15) = 18285
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 36/53, 53/69, 199/15?
Answer: GCF of Numerators as per given numbers 36/53, 53/69, 199/15 is
GCF of Numerators i.e. for 36,53,199 is 1
LCM of denominators i.e. for 53,69,15 is 18285.
Thus, GCF of Fractions is 1/18285.Finally, GCF of Fractions for 36/53, 53/69, 199/15 is 1/18285.