Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 411/5834,138/2571
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 411,138
Greatest Common Factor of Numerators i.e. GCF of 411,138 is 3 .
LCM of Denominators means LCM of 5834,2571 as per the given fractions.
LCM of 5834,2571 is 14999214 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 411,138
3 | 411, 138 |
137, 46 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 411,138 . The biggest common factor number is the GCF number.
So the greatest common factor 411,138 is 3.
Lets's calculate LCM of 5834,2571
Given numbers has no common factors except 1. So, there LCM is their product i.e 14999214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14999214
Therefore, the GCF of Fractions 411/5834,138/2571 is 3/14999214
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 5834,2571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5834,2571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5834,2571) x common factors =1 x 1 = 1
LCM(5834,2571) = ( 5834 × 2571 ) / 1
LCM(5834,2571) = 14999214 / 1
LCM(5834,2571) = 14999214
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 411/5834, 138/2571?
Answer: GCF of Numerators as per given numbers 411/5834, 138/2571 is
GCF of Numerators i.e. for 411,138 is 3
LCM of denominators i.e. for 5834,2571 is 14999214.
Thus, GCF of Fractions is 3/14999214.Finally, GCF of Fractions for 411/5834, 138/2571 is 3/14999214.