Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 248/16,567/52,305/143
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 248,567,305
Greatest Common Factor of Numerators i.e. GCF of 248,567,305 is 1 .
LCM of Denominators means LCM of 16,52,143 as per the given fractions.
LCM of 16,52,143 is 2288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 248,567,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 248,567,305 . The biggest common factor number is the GCF number.
So the greatest common factor 248,567,305 is 1.
Lets's calculate LCM of 16,52,143
2 | 16, 52, 143 |
2 | 8, 26, 143 |
13 | 4, 13, 143 |
4, 1, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 4 x 1 x 11 = 2288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2288
Therefore, the GCF of Fractions 248/16,567/52,305/143 is 1/2288
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 16,52,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,52,143) = 1
common factors(in case of two or more numbers have common factors) = 52
GCF(16,52,143) x common factors =1 x 52 = 52
LCM(16,52,143) = ( 16 × 52 × 143 ) / 52
LCM(16,52,143) = 118976 / 52
LCM(16,52,143) = 2288
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 248/16, 567/52, 305/143?
Answer: GCF of Numerators as per given numbers 248/16, 567/52, 305/143 is
GCF of Numerators i.e. for 248,567,305 is 1
LCM of denominators i.e. for 16,52,143 is 2288.
Thus, GCF of Fractions is 1/2288.Finally, GCF of Fractions for 248/16, 567/52, 305/143 is 1/2288.