Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5606/787,4434/738
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 5606,4434
Greatest Common Factor of Numerators i.e. GCF of 5606,4434 is 2 .
LCM of Denominators means LCM of 787,738 as per the given fractions.
LCM of 787,738 is 580806 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5606,4434
2 | 5606, 4434 |
2803, 2217 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5606
List of positive integer factors of 5606 that divides 5606 without a remainder.
1,2,2803,5606
Factors of 4434
List of positive integer factors of 4434 that divides 4434 without a remainder.
1,2,3,6,739,1478,2217,4434
Greatest Common Factor
We found the factors 5606,4434 . The biggest common factor number is the GCF number.
So the greatest common factor 5606,4434 is 2.
Lets's calculate LCM of 787,738
Given numbers has no common factors except 1. So, there LCM is their product i.e 580806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/580806
Therefore, the GCF of Fractions 5606/787,4434/738 is 2/580806
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 787,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,738) x common factors =1 x 1 = 1
LCM(787,738) = ( 787 × 738 ) / 1
LCM(787,738) = 580806 / 1
LCM(787,738) = 580806
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 5606/787, 4434/738?
Answer: GCF of Numerators as per given numbers 5606/787, 4434/738 is
GCF of Numerators i.e. for 5606,4434 is 2
LCM of denominators i.e. for 787,738 is 580806.
Thus, GCF of Fractions is 2/580806.Finally, GCF of Fractions for 5606/787, 4434/738 is 2/580806.