Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4236/333,4556/5537
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 4236,4556
Greatest Common Factor of Numerators i.e. GCF of 4236,4556 is 4 .
LCM of Denominators means LCM of 333,5537 as per the given fractions.
LCM of 333,5537 is 1843821 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4236,4556
2 | 4236, 4556 |
2 | 2118, 2278 |
1059, 1139 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 4236
List of positive integer factors of 4236 that divides 4236 without a remainder.
1,2,3,4,6,12,353,706,1059,1412,2118,4236
Factors of 4556
List of positive integer factors of 4556 that divides 4556 without a remainder.
1,2,4,17,34,67,68,134,268,1139,2278,4556
Greatest Common Factor
We found the factors 4236,4556 . The biggest common factor number is the GCF number.
So the greatest common factor 4236,4556 is 4.
Lets's calculate LCM of 333,5537
Given numbers has no common factors except 1. So, there LCM is their product i.e 1843821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1843821
Therefore, the GCF of Fractions 4236/333,4556/5537 is 4/1843821
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 333,5537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,5537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(333,5537) x common factors =1 x 1 = 1
LCM(333,5537) = ( 333 × 5537 ) / 1
LCM(333,5537) = 1843821 / 1
LCM(333,5537) = 1843821
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 4236/333, 4556/5537?
Answer: GCF of Numerators as per given numbers 4236/333, 4556/5537 is
GCF of Numerators i.e. for 4236,4556 is 4
LCM of denominators i.e. for 333,5537 is 1843821.
Thus, GCF of Fractions is 4/1843821.Finally, GCF of Fractions for 4236/333, 4556/5537 is 4/1843821.