Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9433/55,9082/299
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 9433,9082
Greatest Common Factor of Numerators i.e. GCF of 9433,9082 is 1 .
LCM of Denominators means LCM of 55,299 as per the given fractions.
LCM of 55,299 is 16445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9433,9082
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9433
List of positive integer factors of 9433 that divides 9433 without a remainder.
1,9433
Factors of 9082
List of positive integer factors of 9082 that divides 9082 without a remainder.
1,2,19,38,239,478,4541,9082
Greatest Common Factor
We found the factors 9433,9082 . The biggest common factor number is the GCF number.
So the greatest common factor 9433,9082 is 1.
Lets's calculate LCM of 55,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 16445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16445
Therefore, the GCF of Fractions 9433/55,9082/299 is 1/16445
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 55,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,299) x common factors =1 x 1 = 1
LCM(55,299) = ( 55 × 299 ) / 1
LCM(55,299) = 16445 / 1
LCM(55,299) = 16445
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 9433/55, 9082/299?
Answer: GCF of Numerators as per given numbers 9433/55, 9082/299 is
GCF of Numerators i.e. for 9433,9082 is 1
LCM of denominators i.e. for 55,299 is 16445.
Thus, GCF of Fractions is 1/16445.Finally, GCF of Fractions for 9433/55, 9082/299 is 1/16445.