Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9943/975,2094/3587
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 9943,2094
Greatest Common Factor of Numerators i.e. GCF of 9943,2094 is 1 .
LCM of Denominators means LCM of 975,3587 as per the given fractions.
LCM of 975,3587 is 3497325 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9943,2094
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9943
List of positive integer factors of 9943 that divides 9943 without a remainder.
1,61,163,9943
Factors of 2094
List of positive integer factors of 2094 that divides 2094 without a remainder.
1,2,3,6,349,698,1047,2094
Greatest Common Factor
We found the factors 9943,2094 . The biggest common factor number is the GCF number.
So the greatest common factor 9943,2094 is 1.
Lets's calculate LCM of 975,3587
Given numbers has no common factors except 1. So, there LCM is their product i.e 3497325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3497325
Therefore, the GCF of Fractions 9943/975,2094/3587 is 1/3497325
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 975,3587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,3587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,3587) x common factors =1 x 1 = 1
LCM(975,3587) = ( 975 × 3587 ) / 1
LCM(975,3587) = 3497325 / 1
LCM(975,3587) = 3497325
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 9943/975, 2094/3587?
Answer: GCF of Numerators as per given numbers 9943/975, 2094/3587 is
GCF of Numerators i.e. for 9943,2094 is 1
LCM of denominators i.e. for 975,3587 is 3497325.
Thus, GCF of Fractions is 1/3497325.Finally, GCF of Fractions for 9943/975, 2094/3587 is 1/3497325.