Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 263/141,665/910,384/243
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 263,665,384
Greatest Common Factor of Numerators i.e. GCF of 263,665,384 is 1 .
LCM of Denominators means LCM of 141,910,243 as per the given fractions.
LCM of 141,910,243 is 10393110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 263,665,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
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 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 263,665,384 . The biggest common factor number is the GCF number.
So the greatest common factor 263,665,384 is 1.
Lets's calculate LCM of 141,910,243
3 | 141, 910, 243 |
47, 910, 81 |
∴ So the LCM of the given numbers is 3 x 47 x 910 x 81 = 10393110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10393110
Therefore, the GCF of Fractions 263/141,665/910,384/243 is 1/10393110
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 141,910,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,910,243) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(141,910,243) x common factors =1 x 3 = 3
LCM(141,910,243) = ( 141 × 910 × 243 ) / 3
LCM(141,910,243) = 31179330 / 3
LCM(141,910,243) = 10393110
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 263/141, 665/910, 384/243?
Answer: GCF of Numerators as per given numbers 263/141, 665/910, 384/243 is
GCF of Numerators i.e. for 263,665,384 is 1
LCM of denominators i.e. for 141,910,243 is 10393110.
Thus, GCF of Fractions is 1/10393110.Finally, GCF of Fractions for 263/141, 665/910, 384/243 is 1/10393110.