Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 255/731,5966/5015
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 255,5966
Greatest Common Factor of Numerators i.e. GCF of 255,5966 is 1 .
LCM of Denominators means LCM of 731,5015 as per the given fractions.
LCM of 731,5015 is 215645 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 255,5966
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 5966
List of positive integer factors of 5966 that divides 5966 without a remainder.
1,2,19,38,157,314,2983,5966
Greatest Common Factor
We found the factors 255,5966 . The biggest common factor number is the GCF number.
So the greatest common factor 255,5966 is 1.
Lets's calculate LCM of 731,5015
17 | 731, 5015 |
43, 295 |
∴ So the LCM of the given numbers is 17 x 43 x 295 = 215645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215645
Therefore, the GCF of Fractions 255/731,5966/5015 is 1/215645
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 731,5015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(731,5015) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(731,5015) x common factors =17 x 1 = 17
LCM(731,5015) = ( 731 × 5015 ) / 17
LCM(731,5015) = 3665965 / 17
LCM(731,5015) = 215645
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 255/731, 5966/5015?
Answer: GCF of Numerators as per given numbers 255/731, 5966/5015 is
GCF of Numerators i.e. for 255,5966 is 1
LCM of denominators i.e. for 731,5015 is 215645.
Thus, GCF of Fractions is 1/215645.Finally, GCF of Fractions for 255/731, 5966/5015 is 1/215645.