Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2043/35,6097/482
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 2043,6097
Greatest Common Factor of Numerators i.e. GCF of 2043,6097 is 1 .
LCM of Denominators means LCM of 35,482 as per the given fractions.
LCM of 35,482 is 16870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2043,6097
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2043
List of positive integer factors of 2043 that divides 2043 without a remainder.
1,3,9,227,681,2043
Factors of 6097
List of positive integer factors of 6097 that divides 6097 without a remainder.
1,7,13,67,91,469,871,6097
Greatest Common Factor
We found the factors 2043,6097 . The biggest common factor number is the GCF number.
So the greatest common factor 2043,6097 is 1.
Lets's calculate LCM of 35,482
Given numbers has no common factors except 1. So, there LCM is their product i.e 16870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16870
Therefore, the GCF of Fractions 2043/35,6097/482 is 1/16870
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 35,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,482) x common factors =1 x 1 = 1
LCM(35,482) = ( 35 × 482 ) / 1
LCM(35,482) = 16870 / 1
LCM(35,482) = 16870
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 2043/35, 6097/482?
Answer: GCF of Numerators as per given numbers 2043/35, 6097/482 is
GCF of Numerators i.e. for 2043,6097 is 1
LCM of denominators i.e. for 35,482 is 16870.
Thus, GCF of Fractions is 1/16870.Finally, GCF of Fractions for 2043/35, 6097/482 is 1/16870.