Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9578/724,5908/609
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 9578,5908
Greatest Common Factor of Numerators i.e. GCF of 9578,5908 is 2 .
LCM of Denominators means LCM of 724,609 as per the given fractions.
LCM of 724,609 is 440916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9578,5908
2 | 9578, 5908 |
4789, 2954 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9578
List of positive integer factors of 9578 that divides 9578 without a remainder.
1,2,4789,9578
Factors of 5908
List of positive integer factors of 5908 that divides 5908 without a remainder.
1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 9578,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 9578,5908 is 2.
Lets's calculate LCM of 724,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 440916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/440916
Therefore, the GCF of Fractions 9578/724,5908/609 is 2/440916
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 724,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,609) x common factors =1 x 1 = 1
LCM(724,609) = ( 724 × 609 ) / 1
LCM(724,609) = 440916 / 1
LCM(724,609) = 440916
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 9578/724, 5908/609?
Answer: GCF of Numerators as per given numbers 9578/724, 5908/609 is
GCF of Numerators i.e. for 9578,5908 is 2
LCM of denominators i.e. for 724,609 is 440916.
Thus, GCF of Fractions is 2/440916.Finally, GCF of Fractions for 9578/724, 5908/609 is 2/440916.