Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9310/43,1681/792
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 9310,1681
Greatest Common Factor of Numerators i.e. GCF of 9310,1681 is 1 .
LCM of Denominators means LCM of 43,792 as per the given fractions.
LCM of 43,792 is 34056 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9310,1681
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9310
List of positive integer factors of 9310 that divides 9310 without a remainder.
1,2,5,7,10,14,19,35,38,49,70,95,98,133,190,245,266,490,665,931,1330,1862,4655,9310
Factors of 1681
List of positive integer factors of 1681 that divides 1681 without a remainder.
1,41,1681
Greatest Common Factor
We found the factors 9310,1681 . The biggest common factor number is the GCF number.
So the greatest common factor 9310,1681 is 1.
Lets's calculate LCM of 43,792
Given numbers has no common factors except 1. So, there LCM is their product i.e 34056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34056
Therefore, the GCF of Fractions 9310/43,1681/792 is 1/34056
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 43,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,792) x common factors =1 x 1 = 1
LCM(43,792) = ( 43 × 792 ) / 1
LCM(43,792) = 34056 / 1
LCM(43,792) = 34056
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 9310/43, 1681/792?
Answer: GCF of Numerators as per given numbers 9310/43, 1681/792 is
GCF of Numerators i.e. for 9310,1681 is 1
LCM of denominators i.e. for 43,792 is 34056.
Thus, GCF of Fractions is 1/34056.Finally, GCF of Fractions for 9310/43, 1681/792 is 1/34056.