Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 665/371,2485/533
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 665,2485
Greatest Common Factor of Numerators i.e. GCF of 665,2485 is 35 .
LCM of Denominators means LCM of 371,533 as per the given fractions.
LCM of 371,533 is 197743 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 665,2485
5 | 665, 2485 |
7 | 133, 497 |
19, 71 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 2485
List of positive integer factors of 2485 that divides 2485 without a remainder.
1,5,7,35,71,355,497,2485
Greatest Common Factor
We found the factors 665,2485 . The biggest common factor number is the GCF number.
So the greatest common factor 665,2485 is 35.
Lets's calculate LCM of 371,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 197743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/197743
Therefore, the GCF of Fractions 665/371,2485/533 is 35/197743
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 371,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,533) x common factors =1 x 1 = 1
LCM(371,533) = ( 371 × 533 ) / 1
LCM(371,533) = 197743 / 1
LCM(371,533) = 197743
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 665/371, 2485/533?
Answer: GCF of Numerators as per given numbers 665/371, 2485/533 is
GCF of Numerators i.e. for 665,2485 is 35
LCM of denominators i.e. for 371,533 is 197743.
Thus, GCF of Fractions is 35/197743.Finally, GCF of Fractions for 665/371, 2485/533 is 35/197743.