Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4306/373,8989/3185
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 4306,8989
Greatest Common Factor of Numerators i.e. GCF of 4306,8989 is 1 .
LCM of Denominators means LCM of 373,3185 as per the given fractions.
LCM of 373,3185 is 1188005 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4306,8989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4306
List of positive integer factors of 4306 that divides 4306 without a remainder.
1,2,2153,4306
Factors of 8989
List of positive integer factors of 8989 that divides 8989 without a remainder.
1,89,101,8989
Greatest Common Factor
We found the factors 4306,8989 . The biggest common factor number is the GCF number.
So the greatest common factor 4306,8989 is 1.
Lets's calculate LCM of 373,3185
Given numbers has no common factors except 1. So, there LCM is their product i.e 1188005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1188005
Therefore, the GCF of Fractions 4306/373,8989/3185 is 1/1188005
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 373,3185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,3185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,3185) x common factors =1 x 1 = 1
LCM(373,3185) = ( 373 × 3185 ) / 1
LCM(373,3185) = 1188005 / 1
LCM(373,3185) = 1188005
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 4306/373, 8989/3185?
Answer: GCF of Numerators as per given numbers 4306/373, 8989/3185 is
GCF of Numerators i.e. for 4306,8989 is 1
LCM of denominators i.e. for 373,3185 is 1188005.
Thus, GCF of Fractions is 1/1188005.Finally, GCF of Fractions for 4306/373, 8989/3185 is 1/1188005.