Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 281/68,313/25,326/444
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 281,313,326
Greatest Common Factor of Numerators i.e. GCF of 281,313,326 is 1 .
LCM of Denominators means LCM of 68,25,444 as per the given fractions.
LCM of 68,25,444 is 188700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 281,313,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 281,313,326 . The biggest common factor number is the GCF number.
So the greatest common factor 281,313,326 is 1.
Lets's calculate LCM of 68,25,444
2 | 68, 25, 444 |
2 | 34, 25, 222 |
17, 25, 111 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 25 x 111 = 188700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188700
Therefore, the GCF of Fractions 281/68,313/25,326/444 is 1/188700
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 68,25,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,25,444) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,25,444) x common factors =1 x 4 = 4
LCM(68,25,444) = ( 68 × 25 × 444 ) / 4
LCM(68,25,444) = 754800 / 4
LCM(68,25,444) = 188700
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 281/68, 313/25, 326/444?
Answer: GCF of Numerators as per given numbers 281/68, 313/25, 326/444 is
GCF of Numerators i.e. for 281,313,326 is 1
LCM of denominators i.e. for 68,25,444 is 188700.
Thus, GCF of Fractions is 1/188700.Finally, GCF of Fractions for 281/68, 313/25, 326/444 is 1/188700.