Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/407,3328/7466
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 91,3328
Greatest Common Factor of Numerators i.e. GCF of 91,3328 is 13 .
LCM of Denominators means LCM of 407,7466 as per the given fractions.
LCM of 407,7466 is 3038662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,3328
13 | 91, 3328 |
7, 256 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 3328
List of positive integer factors of 3328 that divides 3328 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,832,1664,3328
Greatest Common Factor
We found the factors 91,3328 . The biggest common factor number is the GCF number.
So the greatest common factor 91,3328 is 13.
Lets's calculate LCM of 407,7466
Given numbers has no common factors except 1. So, there LCM is their product i.e 3038662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3038662
Therefore, the GCF of Fractions 91/407,3328/7466 is 13/3038662
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 407,7466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,7466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,7466) x common factors =1 x 1 = 1
LCM(407,7466) = ( 407 × 7466 ) / 1
LCM(407,7466) = 3038662 / 1
LCM(407,7466) = 3038662
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 91/407, 3328/7466?
Answer: GCF of Numerators as per given numbers 91/407, 3328/7466 is
GCF of Numerators i.e. for 91,3328 is 13
LCM of denominators i.e. for 407,7466 is 3038662.
Thus, GCF of Fractions is 13/3038662.Finally, GCF of Fractions for 91/407, 3328/7466 is 13/3038662.