Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9403/945,9671/424
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 9403,9671
Greatest Common Factor of Numerators i.e. GCF of 9403,9671 is 1 .
LCM of Denominators means LCM of 945,424 as per the given fractions.
LCM of 945,424 is 400680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9403,9671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9403
List of positive integer factors of 9403 that divides 9403 without a remainder.
1,9403
Factors of 9671
List of positive integer factors of 9671 that divides 9671 without a remainder.
1,19,509,9671
Greatest Common Factor
We found the factors 9403,9671 . The biggest common factor number is the GCF number.
So the greatest common factor 9403,9671 is 1.
Lets's calculate LCM of 945,424
Given numbers has no common factors except 1. So, there LCM is their product i.e 400680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400680
Therefore, the GCF of Fractions 9403/945,9671/424 is 1/400680
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 945,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(945,424) x common factors =1 x 1 = 1
LCM(945,424) = ( 945 × 424 ) / 1
LCM(945,424) = 400680 / 1
LCM(945,424) = 400680
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 9403/945, 9671/424?
Answer: GCF of Numerators as per given numbers 9403/945, 9671/424 is
GCF of Numerators i.e. for 9403,9671 is 1
LCM of denominators i.e. for 945,424 is 400680.
Thus, GCF of Fractions is 1/400680.Finally, GCF of Fractions for 9403/945, 9671/424 is 1/400680.