Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6508/268,3459/796
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 6508,3459
Greatest Common Factor of Numerators i.e. GCF of 6508,3459 is 1 .
LCM of Denominators means LCM of 268,796 as per the given fractions.
LCM of 268,796 is 53332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6508,3459
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6508
List of positive integer factors of 6508 that divides 6508 without a remainder.
1,2,4,1627,3254,6508
Factors of 3459
List of positive integer factors of 3459 that divides 3459 without a remainder.
1,3,1153,3459
Greatest Common Factor
We found the factors 6508,3459 . The biggest common factor number is the GCF number.
So the greatest common factor 6508,3459 is 1.
Lets's calculate LCM of 268,796
2 | 268, 796 |
2 | 134, 398 |
67, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 199 = 53332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53332
Therefore, the GCF of Fractions 6508/268,3459/796 is 1/53332
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 268,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,796) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,796) x common factors =4 x 1 = 4
LCM(268,796) = ( 268 × 796 ) / 4
LCM(268,796) = 213328 / 4
LCM(268,796) = 53332
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 6508/268, 3459/796?
Answer: GCF of Numerators as per given numbers 6508/268, 3459/796 is
GCF of Numerators i.e. for 6508,3459 is 1
LCM of denominators i.e. for 268,796 is 53332.
Thus, GCF of Fractions is 1/53332.Finally, GCF of Fractions for 6508/268, 3459/796 is 1/53332.