Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3464/33,9104/481
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 3464,9104
Greatest Common Factor of Numerators i.e. GCF of 3464,9104 is 8 .
LCM of Denominators means LCM of 33,481 as per the given fractions.
LCM of 33,481 is 15873 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3464,9104
2 | 3464, 9104 |
2 | 1732, 4552 |
2 | 866, 2276 |
433, 1138 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 3464
List of positive integer factors of 3464 that divides 3464 without a remainder.
1,2,4,8,433,866,1732,3464
Factors of 9104
List of positive integer factors of 9104 that divides 9104 without a remainder.
1,2,4,8,16,569,1138,2276,4552,9104
Greatest Common Factor
We found the factors 3464,9104 . The biggest common factor number is the GCF number.
So the greatest common factor 3464,9104 is 8.
Lets's calculate LCM of 33,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 15873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/15873
Therefore, the GCF of Fractions 3464/33,9104/481 is 8/15873
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 33,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,481) x common factors =1 x 1 = 1
LCM(33,481) = ( 33 × 481 ) / 1
LCM(33,481) = 15873 / 1
LCM(33,481) = 15873
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 3464/33, 9104/481?
Answer: GCF of Numerators as per given numbers 3464/33, 9104/481 is
GCF of Numerators i.e. for 3464,9104 is 8
LCM of denominators i.e. for 33,481 is 15873.
Thus, GCF of Fractions is 8/15873.Finally, GCF of Fractions for 3464/33, 9104/481 is 8/15873.