Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/402,903/244
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 75,903
Greatest Common Factor of Numerators i.e. GCF of 75,903 is 3 .
LCM of Denominators means LCM of 402,244 as per the given fractions.
LCM of 402,244 is 49044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 75,903
3 | 75, 903 |
25, 301 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 75,903 . The biggest common factor number is the GCF number.
So the greatest common factor 75,903 is 3.
Lets's calculate LCM of 402,244
2 | 402, 244 |
201, 122 |
∴ So the LCM of the given numbers is 2 x 201 x 122 = 49044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49044
Therefore, the GCF of Fractions 75/402,903/244 is 3/49044
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 402,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,244) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(402,244) x common factors =2 x 1 = 2
LCM(402,244) = ( 402 × 244 ) / 2
LCM(402,244) = 98088 / 2
LCM(402,244) = 49044
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 75/402, 903/244?
Answer: GCF of Numerators as per given numbers 75/402, 903/244 is
GCF of Numerators i.e. for 75,903 is 3
LCM of denominators i.e. for 402,244 is 49044.
Thus, GCF of Fractions is 3/49044.Finally, GCF of Fractions for 75/402, 903/244 is 3/49044.