Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2805/59,6365/929
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 2805,6365
Greatest Common Factor of Numerators i.e. GCF of 2805,6365 is 5 .
LCM of Denominators means LCM of 59,929 as per the given fractions.
LCM of 59,929 is 54811 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2805,6365
5 | 2805, 6365 |
561, 1273 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 2805
List of positive integer factors of 2805 that divides 2805 without a remainder.
1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Factors of 6365
List of positive integer factors of 6365 that divides 6365 without a remainder.
1,5,19,67,95,335,1273,6365
Greatest Common Factor
We found the factors 2805,6365 . The biggest common factor number is the GCF number.
So the greatest common factor 2805,6365 is 5.
Lets's calculate LCM of 59,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 54811
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/54811
Therefore, the GCF of Fractions 2805/59,6365/929 is 5/54811
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 59,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,929) x common factors =1 x 1 = 1
LCM(59,929) = ( 59 × 929 ) / 1
LCM(59,929) = 54811 / 1
LCM(59,929) = 54811
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 2805/59, 6365/929?
Answer: GCF of Numerators as per given numbers 2805/59, 6365/929 is
GCF of Numerators i.e. for 2805,6365 is 5
LCM of denominators i.e. for 59,929 is 54811.
Thus, GCF of Fractions is 5/54811.Finally, GCF of Fractions for 2805/59, 6365/929 is 5/54811.