Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 285/198,737/265
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 285,737
Greatest Common Factor of Numerators i.e. GCF of 285,737 is 1 .
LCM of Denominators means LCM of 198,265 as per the given fractions.
LCM of 198,265 is 52470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 285,737
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 285,737 . The biggest common factor number is the GCF number.
So the greatest common factor 285,737 is 1.
Lets's calculate LCM of 198,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 52470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52470
Therefore, the GCF of Fractions 285/198,737/265 is 1/52470
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 198,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(198,265) x common factors =1 x 1 = 1
LCM(198,265) = ( 198 × 265 ) / 1
LCM(198,265) = 52470 / 1
LCM(198,265) = 52470
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 285/198, 737/265?
Answer: GCF of Numerators as per given numbers 285/198, 737/265 is
GCF of Numerators i.e. for 285,737 is 1
LCM of denominators i.e. for 198,265 is 52470.
Thus, GCF of Fractions is 1/52470.Finally, GCF of Fractions for 285/198, 737/265 is 1/52470.