Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5908/999,4826/109
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 5908,4826
Greatest Common Factor of Numerators i.e. GCF of 5908,4826 is 2 .
LCM of Denominators means LCM of 999,109 as per the given fractions.
LCM of 999,109 is 108891 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5908,4826
2 | 5908, 4826 |
2954, 2413 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5908
List of positive integer factors of 5908 that divides 5908 without a remainder.
1,2,4,7,14,28,211,422,844,1477,2954,5908
Factors of 4826
List of positive integer factors of 4826 that divides 4826 without a remainder.
1,2,19,38,127,254,2413,4826
Greatest Common Factor
We found the factors 5908,4826 . The biggest common factor number is the GCF number.
So the greatest common factor 5908,4826 is 2.
Lets's calculate LCM of 999,109
Given numbers has no common factors except 1. So, there LCM is their product i.e 108891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108891
Therefore, the GCF of Fractions 5908/999,4826/109 is 2/108891
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 999,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,109) x common factors =1 x 1 = 1
LCM(999,109) = ( 999 × 109 ) / 1
LCM(999,109) = 108891 / 1
LCM(999,109) = 108891
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 5908/999, 4826/109?
Answer: GCF of Numerators as per given numbers 5908/999, 4826/109 is
GCF of Numerators i.e. for 5908,4826 is 2
LCM of denominators i.e. for 999,109 is 108891.
Thus, GCF of Fractions is 2/108891.Finally, GCF of Fractions for 5908/999, 4826/109 is 2/108891.