Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5935/442,2973/790
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 5935,2973
Greatest Common Factor of Numerators i.e. GCF of 5935,2973 is 1 .
LCM of Denominators means LCM of 442,790 as per the given fractions.
LCM of 442,790 is 174590 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5935,2973
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5935
List of positive integer factors of 5935 that divides 5935 without a remainder.
1,5,1187,5935
Factors of 2973
List of positive integer factors of 2973 that divides 2973 without a remainder.
1,3,991,2973
Greatest Common Factor
We found the factors 5935,2973 . The biggest common factor number is the GCF number.
So the greatest common factor 5935,2973 is 1.
Lets's calculate LCM of 442,790
2 | 442, 790 |
221, 395 |
∴ So the LCM of the given numbers is 2 x 221 x 395 = 174590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174590
Therefore, the GCF of Fractions 5935/442,2973/790 is 1/174590
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 442,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,790) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,790) x common factors =2 x 1 = 2
LCM(442,790) = ( 442 × 790 ) / 2
LCM(442,790) = 349180 / 2
LCM(442,790) = 174590
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 5935/442, 2973/790?
Answer: GCF of Numerators as per given numbers 5935/442, 2973/790 is
GCF of Numerators i.e. for 5935,2973 is 1
LCM of denominators i.e. for 442,790 is 174590.
Thus, GCF of Fractions is 1/174590.Finally, GCF of Fractions for 5935/442, 2973/790 is 1/174590.