Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/47,342/13,306/112
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 36,342,306
Greatest Common Factor of Numerators i.e. GCF of 36,342,306 is 18 .
LCM of Denominators means LCM of 47,13,112 as per the given fractions.
LCM of 47,13,112 is 68432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,342,306
2 | 36, 342, 306 |
3 | 18, 171, 153 |
3 | 6, 57, 51 |
2, 19, 17 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
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 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 36,342,306 . The biggest common factor number is the GCF number.
So the greatest common factor 36,342,306 is 18.
Lets's calculate LCM of 47,13,112
Given numbers has no common factors except 1. So, there LCM is their product i.e 68432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/68432
Therefore, the GCF of Fractions 36/47,342/13,306/112 is 18/68432
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 47,13,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,13,112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,13,112) x common factors =1 x 1 = 1
LCM(47,13,112) = ( 47 × 13 × 112 ) / 1
LCM(47,13,112) = 68432 / 1
LCM(47,13,112) = 68432
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 36/47, 342/13, 306/112?
Answer: GCF of Numerators as per given numbers 36/47, 342/13, 306/112 is
GCF of Numerators i.e. for 36,342,306 is 18
LCM of denominators i.e. for 47,13,112 is 68432.
Thus, GCF of Fractions is 18/68432.Finally, GCF of Fractions for 36/47, 342/13, 306/112 is 18/68432.