Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5542/43,8606/833
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 5542,8606
Greatest Common Factor of Numerators i.e. GCF of 5542,8606 is 2 .
LCM of Denominators means LCM of 43,833 as per the given fractions.
LCM of 43,833 is 35819 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5542,8606
2 | 5542, 8606 |
2771, 4303 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5542
List of positive integer factors of 5542 that divides 5542 without a remainder.
1,2,17,34,163,326,2771,5542
Factors of 8606
List of positive integer factors of 8606 that divides 8606 without a remainder.
1,2,13,26,331,662,4303,8606
Greatest Common Factor
We found the factors 5542,8606 . The biggest common factor number is the GCF number.
So the greatest common factor 5542,8606 is 2.
Lets's calculate LCM of 43,833
Given numbers has no common factors except 1. So, there LCM is their product i.e 35819
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35819
Therefore, the GCF of Fractions 5542/43,8606/833 is 2/35819
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 43,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,833) x common factors =1 x 1 = 1
LCM(43,833) = ( 43 × 833 ) / 1
LCM(43,833) = 35819 / 1
LCM(43,833) = 35819
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 5542/43, 8606/833?
Answer: GCF of Numerators as per given numbers 5542/43, 8606/833 is
GCF of Numerators i.e. for 5542,8606 is 2
LCM of denominators i.e. for 43,833 is 35819.
Thus, GCF of Fractions is 2/35819.Finally, GCF of Fractions for 5542/43, 8606/833 is 2/35819.