Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6513/539,4697/414
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 6513,4697
Greatest Common Factor of Numerators i.e. GCF of 6513,4697 is 1 .
LCM of Denominators means LCM of 539,414 as per the given fractions.
LCM of 539,414 is 223146 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6513,4697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6513
List of positive integer factors of 6513 that divides 6513 without a remainder.
1,3,13,39,167,501,2171,6513
Factors of 4697
List of positive integer factors of 4697 that divides 4697 without a remainder.
1,7,11,61,77,427,671,4697
Greatest Common Factor
We found the factors 6513,4697 . The biggest common factor number is the GCF number.
So the greatest common factor 6513,4697 is 1.
Lets's calculate LCM of 539,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 223146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223146
Therefore, the GCF of Fractions 6513/539,4697/414 is 1/223146
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 539,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,414) x common factors =1 x 1 = 1
LCM(539,414) = ( 539 × 414 ) / 1
LCM(539,414) = 223146 / 1
LCM(539,414) = 223146
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 6513/539, 4697/414?
Answer: GCF of Numerators as per given numbers 6513/539, 4697/414 is
GCF of Numerators i.e. for 6513,4697 is 1
LCM of denominators i.e. for 539,414 is 223146.
Thus, GCF of Fractions is 1/223146.Finally, GCF of Fractions for 6513/539, 4697/414 is 1/223146.