Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7430/590,6379/2816
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 7430,6379
Greatest Common Factor of Numerators i.e. GCF of 7430,6379 is 1 .
LCM of Denominators means LCM of 590,2816 as per the given fractions.
LCM of 590,2816 is 830720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7430,6379
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7430
List of positive integer factors of 7430 that divides 7430 without a remainder.
1,2,5,10,743,1486,3715,7430
Factors of 6379
List of positive integer factors of 6379 that divides 6379 without a remainder.
1,6379
Greatest Common Factor
We found the factors 7430,6379 . The biggest common factor number is the GCF number.
So the greatest common factor 7430,6379 is 1.
Lets's calculate LCM of 590,2816
2 | 590, 2816 |
295, 1408 |
∴ So the LCM of the given numbers is 2 x 295 x 1408 = 830720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/830720
Therefore, the GCF of Fractions 7430/590,6379/2816 is 1/830720
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 590,2816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,2816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,2816) x common factors =2 x 1 = 2
LCM(590,2816) = ( 590 × 2816 ) / 2
LCM(590,2816) = 1661440 / 2
LCM(590,2816) = 830720
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 7430/590, 6379/2816?
Answer: GCF of Numerators as per given numbers 7430/590, 6379/2816 is
GCF of Numerators i.e. for 7430,6379 is 1
LCM of denominators i.e. for 590,2816 is 830720.
Thus, GCF of Fractions is 1/830720.Finally, GCF of Fractions for 7430/590, 6379/2816 is 1/830720.