Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4906/913,5151/7342
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 4906,5151
Greatest Common Factor of Numerators i.e. GCF of 4906,5151 is 1 .
LCM of Denominators means LCM of 913,7342 as per the given fractions.
LCM of 913,7342 is 6703246 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4906,5151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4906
List of positive integer factors of 4906 that divides 4906 without a remainder.
1,2,11,22,223,446,2453,4906
Factors of 5151
List of positive integer factors of 5151 that divides 5151 without a remainder.
1,3,17,51,101,303,1717,5151
Greatest Common Factor
We found the factors 4906,5151 . The biggest common factor number is the GCF number.
So the greatest common factor 4906,5151 is 1.
Lets's calculate LCM of 913,7342
Given numbers has no common factors except 1. So, there LCM is their product i.e 6703246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6703246
Therefore, the GCF of Fractions 4906/913,5151/7342 is 1/6703246
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 913,7342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,7342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,7342) x common factors =1 x 1 = 1
LCM(913,7342) = ( 913 × 7342 ) / 1
LCM(913,7342) = 6703246 / 1
LCM(913,7342) = 6703246
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 4906/913, 5151/7342?
Answer: GCF of Numerators as per given numbers 4906/913, 5151/7342 is
GCF of Numerators i.e. for 4906,5151 is 1
LCM of denominators i.e. for 913,7342 is 6703246.
Thus, GCF of Fractions is 1/6703246.Finally, GCF of Fractions for 4906/913, 5151/7342 is 1/6703246.