Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5104/33,7686/505
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 5104,7686
Greatest Common Factor of Numerators i.e. GCF of 5104,7686 is 2 .
LCM of Denominators means LCM of 33,505 as per the given fractions.
LCM of 33,505 is 16665 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5104,7686
2 | 5104, 7686 |
2552, 3843 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5104
List of positive integer factors of 5104 that divides 5104 without a remainder.
1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104
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 5104,7686 . The biggest common factor number is the GCF number.
So the greatest common factor 5104,7686 is 2.
Lets's calculate LCM of 33,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 16665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16665
Therefore, the GCF of Fractions 5104/33,7686/505 is 2/16665
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 33,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,505) x common factors =1 x 1 = 1
LCM(33,505) = ( 33 × 505 ) / 1
LCM(33,505) = 16665 / 1
LCM(33,505) = 16665
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 5104/33, 7686/505?
Answer: GCF of Numerators as per given numbers 5104/33, 7686/505 is
GCF of Numerators i.e. for 5104,7686 is 2
LCM of denominators i.e. for 33,505 is 16665.
Thus, GCF of Fractions is 2/16665.Finally, GCF of Fractions for 5104/33, 7686/505 is 2/16665.