Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5838/47,2303/763
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 5838,2303
Greatest Common Factor of Numerators i.e. GCF of 5838,2303 is 7 .
LCM of Denominators means LCM of 47,763 as per the given fractions.
LCM of 47,763 is 35861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5838,2303
7 | 5838, 2303 |
834, 329 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 5838
List of positive integer factors of 5838 that divides 5838 without a remainder.
1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Factors of 2303
List of positive integer factors of 2303 that divides 2303 without a remainder.
1,7,47,49,329,2303
Greatest Common Factor
We found the factors 5838,2303 . The biggest common factor number is the GCF number.
So the greatest common factor 5838,2303 is 7.
Lets's calculate LCM of 47,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 35861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/35861
Therefore, the GCF of Fractions 5838/47,2303/763 is 7/35861
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 47,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,763) x common factors =1 x 1 = 1
LCM(47,763) = ( 47 × 763 ) / 1
LCM(47,763) = 35861 / 1
LCM(47,763) = 35861
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 5838/47, 2303/763?
Answer: GCF of Numerators as per given numbers 5838/47, 2303/763 is
GCF of Numerators i.e. for 5838,2303 is 7
LCM of denominators i.e. for 47,763 is 35861.
Thus, GCF of Fractions is 7/35861.Finally, GCF of Fractions for 5838/47, 2303/763 is 7/35861.