Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9086/145,3901/7617
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 9086,3901
Greatest Common Factor of Numerators i.e. GCF of 9086,3901 is 1 .
LCM of Denominators means LCM of 145,7617 as per the given fractions.
LCM of 145,7617 is 1104465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9086,3901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9086
List of positive integer factors of 9086 that divides 9086 without a remainder.
1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086
Factors of 3901
List of positive integer factors of 3901 that divides 3901 without a remainder.
1,47,83,3901
Greatest Common Factor
We found the factors 9086,3901 . The biggest common factor number is the GCF number.
So the greatest common factor 9086,3901 is 1.
Lets's calculate LCM of 145,7617
Given numbers has no common factors except 1. So, there LCM is their product i.e 1104465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1104465
Therefore, the GCF of Fractions 9086/145,3901/7617 is 1/1104465
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 145,7617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,7617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,7617) x common factors =1 x 1 = 1
LCM(145,7617) = ( 145 × 7617 ) / 1
LCM(145,7617) = 1104465 / 1
LCM(145,7617) = 1104465
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 9086/145, 3901/7617?
Answer: GCF of Numerators as per given numbers 9086/145, 3901/7617 is
GCF of Numerators i.e. for 9086,3901 is 1
LCM of denominators i.e. for 145,7617 is 1104465.
Thus, GCF of Fractions is 1/1104465.Finally, GCF of Fractions for 9086/145, 3901/7617 is 1/1104465.