Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/96,227/17,327/85
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 257,227,327
Greatest Common Factor of Numerators i.e. GCF of 257,227,327 is 1 .
LCM of Denominators means LCM of 96,17,85 as per the given fractions.
LCM of 96,17,85 is 8160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,227,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 257,227,327 . The biggest common factor number is the GCF number.
So the greatest common factor 257,227,327 is 1.
Lets's calculate LCM of 96,17,85
17 | 96, 17, 85 |
96, 1, 5 |
∴ So the LCM of the given numbers is 17 x 96 x 1 x 5 = 8160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8160
Therefore, the GCF of Fractions 257/96,227/17,327/85 is 1/8160
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 96,17,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,17,85) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(96,17,85) x common factors =1 x 17 = 17
LCM(96,17,85) = ( 96 × 17 × 85 ) / 17
LCM(96,17,85) = 138720 / 17
LCM(96,17,85) = 8160
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 257/96, 227/17, 327/85?
Answer: GCF of Numerators as per given numbers 257/96, 227/17, 327/85 is
GCF of Numerators i.e. for 257,227,327 is 1
LCM of denominators i.e. for 96,17,85 is 8160.
Thus, GCF of Fractions is 1/8160.Finally, GCF of Fractions for 257/96, 227/17, 327/85 is 1/8160.