Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9925/423,2423/3106
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 9925,2423
Greatest Common Factor of Numerators i.e. GCF of 9925,2423 is 1 .
LCM of Denominators means LCM of 423,3106 as per the given fractions.
LCM of 423,3106 is 1313838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9925,2423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9925
List of positive integer factors of 9925 that divides 9925 without a remainder.
1,5,25,397,1985,9925
Factors of 2423
List of positive integer factors of 2423 that divides 2423 without a remainder.
1,2423
Greatest Common Factor
We found the factors 9925,2423 . The biggest common factor number is the GCF number.
So the greatest common factor 9925,2423 is 1.
Lets's calculate LCM of 423,3106
Given numbers has no common factors except 1. So, there LCM is their product i.e 1313838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1313838
Therefore, the GCF of Fractions 9925/423,2423/3106 is 1/1313838
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 423,3106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,3106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(423,3106) x common factors =1 x 1 = 1
LCM(423,3106) = ( 423 × 3106 ) / 1
LCM(423,3106) = 1313838 / 1
LCM(423,3106) = 1313838
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 9925/423, 2423/3106?
Answer: GCF of Numerators as per given numbers 9925/423, 2423/3106 is
GCF of Numerators i.e. for 9925,2423 is 1
LCM of denominators i.e. for 423,3106 is 1313838.
Thus, GCF of Fractions is 1/1313838.Finally, GCF of Fractions for 9925/423, 2423/3106 is 1/1313838.