Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9491/386,9695/489
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 9491,9695
Greatest Common Factor of Numerators i.e. GCF of 9491,9695 is 1 .
LCM of Denominators means LCM of 386,489 as per the given fractions.
LCM of 386,489 is 188754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9491,9695
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9491
List of positive integer factors of 9491 that divides 9491 without a remainder.
1,9491
Factors of 9695
List of positive integer factors of 9695 that divides 9695 without a remainder.
1,5,7,35,277,1385,1939,9695
Greatest Common Factor
We found the factors 9491,9695 . The biggest common factor number is the GCF number.
So the greatest common factor 9491,9695 is 1.
Lets's calculate LCM of 386,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 188754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188754
Therefore, the GCF of Fractions 9491/386,9695/489 is 1/188754
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 386,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,489) x common factors =1 x 1 = 1
LCM(386,489) = ( 386 × 489 ) / 1
LCM(386,489) = 188754 / 1
LCM(386,489) = 188754
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 9491/386, 9695/489?
Answer: GCF of Numerators as per given numbers 9491/386, 9695/489 is
GCF of Numerators i.e. for 9491,9695 is 1
LCM of denominators i.e. for 386,489 is 188754.
Thus, GCF of Fractions is 1/188754.Finally, GCF of Fractions for 9491/386, 9695/489 is 1/188754.