Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9379/408,5035/827
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 9379,5035
Greatest Common Factor of Numerators i.e. GCF of 9379,5035 is 1 .
LCM of Denominators means LCM of 408,827 as per the given fractions.
LCM of 408,827 is 337416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9379,5035
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9379
List of positive integer factors of 9379 that divides 9379 without a remainder.
1,83,113,9379
Factors of 5035
List of positive integer factors of 5035 that divides 5035 without a remainder.
1,5,19,53,95,265,1007,5035
Greatest Common Factor
We found the factors 9379,5035 . The biggest common factor number is the GCF number.
So the greatest common factor 9379,5035 is 1.
Lets's calculate LCM of 408,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 337416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337416
Therefore, the GCF of Fractions 9379/408,5035/827 is 1/337416
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 408,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,827) x common factors =1 x 1 = 1
LCM(408,827) = ( 408 × 827 ) / 1
LCM(408,827) = 337416 / 1
LCM(408,827) = 337416
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 9379/408, 5035/827?
Answer: GCF of Numerators as per given numbers 9379/408, 5035/827 is
GCF of Numerators i.e. for 9379,5035 is 1
LCM of denominators i.e. for 408,827 is 337416.
Thus, GCF of Fractions is 1/337416.Finally, GCF of Fractions for 9379/408, 5035/827 is 1/337416.