Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 730/9563,298/4129
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 730,298
Greatest Common Factor of Numerators i.e. GCF of 730,298 is 2 .
LCM of Denominators means LCM of 9563,4129 as per the given fractions.
LCM of 9563,4129 is 39485627 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 730,298
2 | 730, 298 |
365, 149 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Greatest Common Factor
We found the factors 730,298 . The biggest common factor number is the GCF number.
So the greatest common factor 730,298 is 2.
Lets's calculate LCM of 9563,4129
Given numbers has no common factors except 1. So, there LCM is their product i.e 39485627
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39485627
Therefore, the GCF of Fractions 730/9563,298/4129 is 2/39485627
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 9563,4129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9563,4129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9563,4129) x common factors =1 x 1 = 1
LCM(9563,4129) = ( 9563 × 4129 ) / 1
LCM(9563,4129) = 39485627 / 1
LCM(9563,4129) = 39485627
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 730/9563, 298/4129?
Answer: GCF of Numerators as per given numbers 730/9563, 298/4129 is
GCF of Numerators i.e. for 730,298 is 2
LCM of denominators i.e. for 9563,4129 is 39485627.
Thus, GCF of Fractions is 2/39485627.Finally, GCF of Fractions for 730/9563, 298/4129 is 2/39485627.