Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5661/19,3918/132
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 5661,3918
Greatest Common Factor of Numerators i.e. GCF of 5661,3918 is 3 .
LCM of Denominators means LCM of 19,132 as per the given fractions.
LCM of 19,132 is 2508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5661,3918
3 | 5661, 3918 |
1887, 1306 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5661
List of positive integer factors of 5661 that divides 5661 without a remainder.
1,3,9,17,37,51,111,153,333,629,1887,5661
Factors of 3918
List of positive integer factors of 3918 that divides 3918 without a remainder.
1,2,3,6,653,1306,1959,3918
Greatest Common Factor
We found the factors 5661,3918 . The biggest common factor number is the GCF number.
So the greatest common factor 5661,3918 is 3.
Lets's calculate LCM of 19,132
Given numbers has no common factors except 1. So, there LCM is their product i.e 2508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2508
Therefore, the GCF of Fractions 5661/19,3918/132 is 3/2508
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 19,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,132) x common factors =1 x 1 = 1
LCM(19,132) = ( 19 × 132 ) / 1
LCM(19,132) = 2508 / 1
LCM(19,132) = 2508
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 5661/19, 3918/132?
Answer: GCF of Numerators as per given numbers 5661/19, 3918/132 is
GCF of Numerators i.e. for 5661,3918 is 3
LCM of denominators i.e. for 19,132 is 2508.
Thus, GCF of Fractions is 3/2508.Finally, GCF of Fractions for 5661/19, 3918/132 is 3/2508.