Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 259/965,7686/356
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 259,7686
Greatest Common Factor of Numerators i.e. GCF of 259,7686 is 7 .
LCM of Denominators means LCM of 965,356 as per the given fractions.
LCM of 965,356 is 343540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 259,7686
7 | 259, 7686 |
37, 1098 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 259
List of positive integer factors of 259 that divides 259 without a remainder.
1,7,37,259
Factors of 7686
List of positive integer factors of 7686 that divides 7686 without a remainder.
1,2,3,6,7,9,14,18,21,42,61,63,122,126,183,366,427,549,854,1098,1281,2562,3843,7686
Greatest Common Factor
We found the factors 259,7686 . The biggest common factor number is the GCF number.
So the greatest common factor 259,7686 is 7.
Lets's calculate LCM of 965,356
Given numbers has no common factors except 1. So, there LCM is their product i.e 343540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/343540
Therefore, the GCF of Fractions 259/965,7686/356 is 7/343540
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 965,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,356) x common factors =1 x 1 = 1
LCM(965,356) = ( 965 × 356 ) / 1
LCM(965,356) = 343540 / 1
LCM(965,356) = 343540
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 259/965, 7686/356?
Answer: GCF of Numerators as per given numbers 259/965, 7686/356 is
GCF of Numerators i.e. for 259,7686 is 7
LCM of denominators i.e. for 965,356 is 343540.
Thus, GCF of Fractions is 7/343540.Finally, GCF of Fractions for 259/965, 7686/356 is 7/343540.