Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7584/713,4406/886
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 7584,4406
Greatest Common Factor of Numerators i.e. GCF of 7584,4406 is 2 .
LCM of Denominators means LCM of 713,886 as per the given fractions.
LCM of 713,886 is 631718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7584,4406
2 | 7584, 4406 |
3792, 2203 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7584
List of positive integer factors of 7584 that divides 7584 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Factors of 4406
List of positive integer factors of 4406 that divides 4406 without a remainder.
1,2,2203,4406
Greatest Common Factor
We found the factors 7584,4406 . The biggest common factor number is the GCF number.
So the greatest common factor 7584,4406 is 2.
Lets's calculate LCM of 713,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 631718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/631718
Therefore, the GCF of Fractions 7584/713,4406/886 is 2/631718
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 713,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(713,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(713,886) x common factors =1 x 1 = 1
LCM(713,886) = ( 713 × 886 ) / 1
LCM(713,886) = 631718 / 1
LCM(713,886) = 631718
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 7584/713, 4406/886?
Answer: GCF of Numerators as per given numbers 7584/713, 4406/886 is
GCF of Numerators i.e. for 7584,4406 is 2
LCM of denominators i.e. for 713,886 is 631718.
Thus, GCF of Fractions is 2/631718.Finally, GCF of Fractions for 7584/713, 4406/886 is 2/631718.