Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 401/52,275/43,994/412
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 401,275,994
Greatest Common Factor of Numerators i.e. GCF of 401,275,994 is 1 .
LCM of Denominators means LCM of 52,43,412 as per the given fractions.
LCM of 52,43,412 is 230308 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 401,275,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 401,275,994 . The biggest common factor number is the GCF number.
So the greatest common factor 401,275,994 is 1.
Lets's calculate LCM of 52,43,412
2 | 52, 43, 412 |
2 | 26, 43, 206 |
13, 43, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 43 x 103 = 230308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230308
Therefore, the GCF of Fractions 401/52,275/43,994/412 is 1/230308
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 52,43,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,43,412) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,43,412) x common factors =1 x 4 = 4
LCM(52,43,412) = ( 52 × 43 × 412 ) / 4
LCM(52,43,412) = 921232 / 4
LCM(52,43,412) = 230308
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 401/52, 275/43, 994/412?
Answer: GCF of Numerators as per given numbers 401/52, 275/43, 994/412 is
GCF of Numerators i.e. for 401,275,994 is 1
LCM of denominators i.e. for 52,43,412 is 230308.
Thus, GCF of Fractions is 1/230308.Finally, GCF of Fractions for 401/52, 275/43, 994/412 is 1/230308.