Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9667/13,3241/425
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 9667,3241
Greatest Common Factor of Numerators i.e. GCF of 9667,3241 is 7 .
LCM of Denominators means LCM of 13,425 as per the given fractions.
LCM of 13,425 is 5525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9667,3241
7 | 9667, 3241 |
1381, 463 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 9667
List of positive integer factors of 9667 that divides 9667 without a remainder.
1,7,1381,9667
Factors of 3241
List of positive integer factors of 3241 that divides 3241 without a remainder.
1,7,463,3241
Greatest Common Factor
We found the factors 9667,3241 . The biggest common factor number is the GCF number.
So the greatest common factor 9667,3241 is 7.
Lets's calculate LCM of 13,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 5525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5525
Therefore, the GCF of Fractions 9667/13,3241/425 is 7/5525
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 13,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,425) x common factors =1 x 1 = 1
LCM(13,425) = ( 13 × 425 ) / 1
LCM(13,425) = 5525 / 1
LCM(13,425) = 5525
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 9667/13, 3241/425?
Answer: GCF of Numerators as per given numbers 9667/13, 3241/425 is
GCF of Numerators i.e. for 9667,3241 is 7
LCM of denominators i.e. for 13,425 is 5525.
Thus, GCF of Fractions is 7/5525.Finally, GCF of Fractions for 9667/13, 3241/425 is 7/5525.