Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 918/939,5018/839
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 918,5018
Greatest Common Factor of Numerators i.e. GCF of 918,5018 is 2 .
LCM of Denominators means LCM of 939,839 as per the given fractions.
LCM of 939,839 is 787821 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 918,5018
2 | 918, 5018 |
459, 2509 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 5018
List of positive integer factors of 5018 that divides 5018 without a remainder.
1,2,13,26,193,386,2509,5018
Greatest Common Factor
We found the factors 918,5018 . The biggest common factor number is the GCF number.
So the greatest common factor 918,5018 is 2.
Lets's calculate LCM of 939,839
Given numbers has no common factors except 1. So, there LCM is their product i.e 787821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/787821
Therefore, the GCF of Fractions 918/939,5018/839 is 2/787821
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 939,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,839) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,839) x common factors =1 x 1 = 1
LCM(939,839) = ( 939 × 839 ) / 1
LCM(939,839) = 787821 / 1
LCM(939,839) = 787821
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 918/939, 5018/839?
Answer: GCF of Numerators as per given numbers 918/939, 5018/839 is
GCF of Numerators i.e. for 918,5018 is 2
LCM of denominators i.e. for 939,839 is 787821.
Thus, GCF of Fractions is 2/787821.Finally, GCF of Fractions for 918/939, 5018/839 is 2/787821.