Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6513/213,7914/407
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 6513,7914
Greatest Common Factor of Numerators i.e. GCF of 6513,7914 is 3 .
LCM of Denominators means LCM of 213,407 as per the given fractions.
LCM of 213,407 is 86691 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6513,7914
3 | 6513, 7914 |
2171, 2638 |
∴ So the GCF of the given numbers is 3 = 3
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 7914
List of positive integer factors of 7914 that divides 7914 without a remainder.
1,2,3,6,1319,2638,3957,7914
Greatest Common Factor
We found the factors 6513,7914 . The biggest common factor number is the GCF number.
So the greatest common factor 6513,7914 is 3.
Lets's calculate LCM of 213,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 86691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/86691
Therefore, the GCF of Fractions 6513/213,7914/407 is 3/86691
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 213,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,407) x common factors =1 x 1 = 1
LCM(213,407) = ( 213 × 407 ) / 1
LCM(213,407) = 86691 / 1
LCM(213,407) = 86691
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 6513/213, 7914/407?
Answer: GCF of Numerators as per given numbers 6513/213, 7914/407 is
GCF of Numerators i.e. for 6513,7914 is 3
LCM of denominators i.e. for 213,407 is 86691.
Thus, GCF of Fractions is 3/86691.Finally, GCF of Fractions for 6513/213, 7914/407 is 3/86691.