Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9423/85,2710/199
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 9423,2710
Greatest Common Factor of Numerators i.e. GCF of 9423,2710 is 1 .
LCM of Denominators means LCM of 85,199 as per the given fractions.
LCM of 85,199 is 16915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9423,2710
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9423
List of positive integer factors of 9423 that divides 9423 without a remainder.
1,3,9,27,349,1047,3141,9423
Factors of 2710
List of positive integer factors of 2710 that divides 2710 without a remainder.
1,2,5,10,271,542,1355,2710
Greatest Common Factor
We found the factors 9423,2710 . The biggest common factor number is the GCF number.
So the greatest common factor 9423,2710 is 1.
Lets's calculate LCM of 85,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 16915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16915
Therefore, the GCF of Fractions 9423/85,2710/199 is 1/16915
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 85,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,199) x common factors =1 x 1 = 1
LCM(85,199) = ( 85 × 199 ) / 1
LCM(85,199) = 16915 / 1
LCM(85,199) = 16915
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 9423/85, 2710/199?
Answer: GCF of Numerators as per given numbers 9423/85, 2710/199 is
GCF of Numerators i.e. for 9423,2710 is 1
LCM of denominators i.e. for 85,199 is 16915.
Thus, GCF of Fractions is 1/16915.Finally, GCF of Fractions for 9423/85, 2710/199 is 1/16915.