Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4242/374,4295/335
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 4242,4295
Greatest Common Factor of Numerators i.e. GCF of 4242,4295 is 1 .
LCM of Denominators means LCM of 374,335 as per the given fractions.
LCM of 374,335 is 125290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4242,4295
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4242
List of positive integer factors of 4242 that divides 4242 without a remainder.
1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Factors of 4295
List of positive integer factors of 4295 that divides 4295 without a remainder.
1,5,859,4295
Greatest Common Factor
We found the factors 4242,4295 . The biggest common factor number is the GCF number.
So the greatest common factor 4242,4295 is 1.
Lets's calculate LCM of 374,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 125290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/125290
Therefore, the GCF of Fractions 4242/374,4295/335 is 1/125290
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 374,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(374,335) x common factors =1 x 1 = 1
LCM(374,335) = ( 374 × 335 ) / 1
LCM(374,335) = 125290 / 1
LCM(374,335) = 125290
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 4242/374, 4295/335?
Answer: GCF of Numerators as per given numbers 4242/374, 4295/335 is
GCF of Numerators i.e. for 4242,4295 is 1
LCM of denominators i.e. for 374,335 is 125290.
Thus, GCF of Fractions is 1/125290.Finally, GCF of Fractions for 4242/374, 4295/335 is 1/125290.