Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3915/548,1749/341
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 3915,1749
Greatest Common Factor of Numerators i.e. GCF of 3915,1749 is 3 .
LCM of Denominators means LCM of 548,341 as per the given fractions.
LCM of 548,341 is 186868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3915,1749
3 | 3915, 1749 |
1305, 583 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3915
List of positive integer factors of 3915 that divides 3915 without a remainder.
1,3,5,9,15,27,29,45,87,135,145,261,435,783,1305,3915
Factors of 1749
List of positive integer factors of 1749 that divides 1749 without a remainder.
1,3,11,33,53,159,583,1749
Greatest Common Factor
We found the factors 3915,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 3915,1749 is 3.
Lets's calculate LCM of 548,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 186868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/186868
Therefore, the GCF of Fractions 3915/548,1749/341 is 3/186868
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 548,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,341) x common factors =1 x 1 = 1
LCM(548,341) = ( 548 × 341 ) / 1
LCM(548,341) = 186868 / 1
LCM(548,341) = 186868
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 3915/548, 1749/341?
Answer: GCF of Numerators as per given numbers 3915/548, 1749/341 is
GCF of Numerators i.e. for 3915,1749 is 3
LCM of denominators i.e. for 548,341 is 186868.
Thus, GCF of Fractions is 3/186868.Finally, GCF of Fractions for 3915/548, 1749/341 is 3/186868.