Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2843/97,4302/118
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 2843,4302
Greatest Common Factor of Numerators i.e. GCF of 2843,4302 is 1 .
LCM of Denominators means LCM of 97,118 as per the given fractions.
LCM of 97,118 is 11446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2843,4302
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2843
List of positive integer factors of 2843 that divides 2843 without a remainder.
1,2843
Factors of 4302
List of positive integer factors of 4302 that divides 4302 without a remainder.
1,2,3,6,9,18,239,478,717,1434,2151,4302
Greatest Common Factor
We found the factors 2843,4302 . The biggest common factor number is the GCF number.
So the greatest common factor 2843,4302 is 1.
Lets's calculate LCM of 97,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 11446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11446
Therefore, the GCF of Fractions 2843/97,4302/118 is 1/11446
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 97,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,118) x common factors =1 x 1 = 1
LCM(97,118) = ( 97 × 118 ) / 1
LCM(97,118) = 11446 / 1
LCM(97,118) = 11446
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 2843/97, 4302/118?
Answer: GCF of Numerators as per given numbers 2843/97, 4302/118 is
GCF of Numerators i.e. for 2843,4302 is 1
LCM of denominators i.e. for 97,118 is 11446.
Thus, GCF of Fractions is 1/11446.Finally, GCF of Fractions for 2843/97, 4302/118 is 1/11446.