Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 849/407,6991/2219
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 849,6991
Greatest Common Factor of Numerators i.e. GCF of 849,6991 is 1 .
LCM of Denominators means LCM of 407,2219 as per the given fractions.
LCM of 407,2219 is 903133 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 849,6991
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 6991
List of positive integer factors of 6991 that divides 6991 without a remainder.
1,6991
Greatest Common Factor
We found the factors 849,6991 . The biggest common factor number is the GCF number.
So the greatest common factor 849,6991 is 1.
Lets's calculate LCM of 407,2219
Given numbers has no common factors except 1. So, there LCM is their product i.e 903133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/903133
Therefore, the GCF of Fractions 849/407,6991/2219 is 1/903133
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 407,2219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,2219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,2219) x common factors =1 x 1 = 1
LCM(407,2219) = ( 407 × 2219 ) / 1
LCM(407,2219) = 903133 / 1
LCM(407,2219) = 903133
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 849/407, 6991/2219?
Answer: GCF of Numerators as per given numbers 849/407, 6991/2219 is
GCF of Numerators i.e. for 849,6991 is 1
LCM of denominators i.e. for 407,2219 is 903133.
Thus, GCF of Fractions is 1/903133.Finally, GCF of Fractions for 849/407, 6991/2219 is 1/903133.