Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 794/55,1388/393
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 794,1388
Greatest Common Factor of Numerators i.e. GCF of 794,1388 is 2 .
LCM of Denominators means LCM of 55,393 as per the given fractions.
LCM of 55,393 is 21615 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 794,1388
2 | 794, 1388 |
397, 694 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 1388
List of positive integer factors of 1388 that divides 1388 without a remainder.
1,2,4,347,694,1388
Greatest Common Factor
We found the factors 794,1388 . The biggest common factor number is the GCF number.
So the greatest common factor 794,1388 is 2.
Lets's calculate LCM of 55,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 21615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21615
Therefore, the GCF of Fractions 794/55,1388/393 is 2/21615
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 55,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,393) x common factors =1 x 1 = 1
LCM(55,393) = ( 55 × 393 ) / 1
LCM(55,393) = 21615 / 1
LCM(55,393) = 21615
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 794/55, 1388/393?
Answer: GCF of Numerators as per given numbers 794/55, 1388/393 is
GCF of Numerators i.e. for 794,1388 is 2
LCM of denominators i.e. for 55,393 is 21615.
Thus, GCF of Fractions is 2/21615.Finally, GCF of Fractions for 794/55, 1388/393 is 2/21615.