Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/109,3283/511
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 268,3283
Greatest Common Factor of Numerators i.e. GCF of 268,3283 is 67 .
LCM of Denominators means LCM of 109,511 as per the given fractions.
LCM of 109,511 is 55699 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 268,3283
67 | 268, 3283 |
4, 49 |
∴ So the GCF of the given numbers is 67 = 67
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 3283
List of positive integer factors of 3283 that divides 3283 without a remainder.
1,7,49,67,469,3283
Greatest Common Factor
We found the factors 268,3283 . The biggest common factor number is the GCF number.
So the greatest common factor 268,3283 is 67.
Lets's calculate LCM of 109,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 55699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/55699
Therefore, the GCF of Fractions 268/109,3283/511 is 67/55699
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 109,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,511) x common factors =1 x 1 = 1
LCM(109,511) = ( 109 × 511 ) / 1
LCM(109,511) = 55699 / 1
LCM(109,511) = 55699
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 268/109, 3283/511?
Answer: GCF of Numerators as per given numbers 268/109, 3283/511 is
GCF of Numerators i.e. for 268,3283 is 67
LCM of denominators i.e. for 109,511 is 55699.
Thus, GCF of Fractions is 67/55699.Finally, GCF of Fractions for 268/109, 3283/511 is 67/55699.