Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3991/797,3362/6717
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 3991,3362
Greatest Common Factor of Numerators i.e. GCF of 3991,3362 is 1 .
LCM of Denominators means LCM of 797,6717 as per the given fractions.
LCM of 797,6717 is 5353449 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3991,3362
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3991
List of positive integer factors of 3991 that divides 3991 without a remainder.
1,13,307,3991
Factors of 3362
List of positive integer factors of 3362 that divides 3362 without a remainder.
1,2,41,82,1681,3362
Greatest Common Factor
We found the factors 3991,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 3991,3362 is 1.
Lets's calculate LCM of 797,6717
Given numbers has no common factors except 1. So, there LCM is their product i.e 5353449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5353449
Therefore, the GCF of Fractions 3991/797,3362/6717 is 1/5353449
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 797,6717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,6717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,6717) x common factors =1 x 1 = 1
LCM(797,6717) = ( 797 × 6717 ) / 1
LCM(797,6717) = 5353449 / 1
LCM(797,6717) = 5353449
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 3991/797, 3362/6717?
Answer: GCF of Numerators as per given numbers 3991/797, 3362/6717 is
GCF of Numerators i.e. for 3991,3362 is 1
LCM of denominators i.e. for 797,6717 is 5353449.
Thus, GCF of Fractions is 1/5353449.Finally, GCF of Fractions for 3991/797, 3362/6717 is 1/5353449.