Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1518/185,5886/8138
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 1518,5886
Greatest Common Factor of Numerators i.e. GCF of 1518,5886 is 6 .
LCM of Denominators means LCM of 185,8138 as per the given fractions.
LCM of 185,8138 is 1505530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1518,5886
2 | 1518, 5886 |
3 | 759, 2943 |
253, 981 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1518
List of positive integer factors of 1518 that divides 1518 without a remainder.
1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518
Factors of 5886
List of positive integer factors of 5886 that divides 5886 without a remainder.
1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Greatest Common Factor
We found the factors 1518,5886 . The biggest common factor number is the GCF number.
So the greatest common factor 1518,5886 is 6.
Lets's calculate LCM of 185,8138
Given numbers has no common factors except 1. So, there LCM is their product i.e 1505530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1505530
Therefore, the GCF of Fractions 1518/185,5886/8138 is 6/1505530
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 185,8138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,8138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,8138) x common factors =1 x 1 = 1
LCM(185,8138) = ( 185 × 8138 ) / 1
LCM(185,8138) = 1505530 / 1
LCM(185,8138) = 1505530
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 1518/185, 5886/8138?
Answer: GCF of Numerators as per given numbers 1518/185, 5886/8138 is
GCF of Numerators i.e. for 1518,5886 is 6
LCM of denominators i.e. for 185,8138 is 1505530.
Thus, GCF of Fractions is 6/1505530.Finally, GCF of Fractions for 1518/185, 5886/8138 is 6/1505530.