Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5121/137,1104/666
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 5121,1104
Greatest Common Factor of Numerators i.e. GCF of 5121,1104 is 3 .
LCM of Denominators means LCM of 137,666 as per the given fractions.
LCM of 137,666 is 91242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5121,1104
3 | 5121, 1104 |
1707, 368 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5121
List of positive integer factors of 5121 that divides 5121 without a remainder.
1,3,9,569,1707,5121
Factors of 1104
List of positive integer factors of 1104 that divides 1104 without a remainder.
1,2,3,4,6,8,12,16,23,24,46,48,69,92,138,184,276,368,552,1104
Greatest Common Factor
We found the factors 5121,1104 . The biggest common factor number is the GCF number.
So the greatest common factor 5121,1104 is 3.
Lets's calculate LCM of 137,666
Given numbers has no common factors except 1. So, there LCM is their product i.e 91242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91242
Therefore, the GCF of Fractions 5121/137,1104/666 is 3/91242
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 137,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,666) x common factors =1 x 1 = 1
LCM(137,666) = ( 137 × 666 ) / 1
LCM(137,666) = 91242 / 1
LCM(137,666) = 91242
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 5121/137, 1104/666?
Answer: GCF of Numerators as per given numbers 5121/137, 1104/666 is
GCF of Numerators i.e. for 5121,1104 is 3
LCM of denominators i.e. for 137,666 is 91242.
Thus, GCF of Fractions is 3/91242.Finally, GCF of Fractions for 5121/137, 1104/666 is 3/91242.