Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9055/560,3195/484
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 9055,3195
Greatest Common Factor of Numerators i.e. GCF of 9055,3195 is 5 .
LCM of Denominators means LCM of 560,484 as per the given fractions.
LCM of 560,484 is 67760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9055,3195
5 | 9055, 3195 |
1811, 639 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9055
List of positive integer factors of 9055 that divides 9055 without a remainder.
1,5,1811,9055
Factors of 3195
List of positive integer factors of 3195 that divides 3195 without a remainder.
1,3,5,9,15,45,71,213,355,639,1065,3195
Greatest Common Factor
We found the factors 9055,3195 . The biggest common factor number is the GCF number.
So the greatest common factor 9055,3195 is 5.
Lets's calculate LCM of 560,484
2 | 560, 484 |
2 | 280, 242 |
140, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 140 x 121 = 67760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/67760
Therefore, the GCF of Fractions 9055/560,3195/484 is 5/67760
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 560,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(560,484) x common factors =4 x 1 = 4
LCM(560,484) = ( 560 × 484 ) / 4
LCM(560,484) = 271040 / 4
LCM(560,484) = 67760
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 9055/560, 3195/484?
Answer: GCF of Numerators as per given numbers 9055/560, 3195/484 is
GCF of Numerators i.e. for 9055,3195 is 5
LCM of denominators i.e. for 560,484 is 67760.
Thus, GCF of Fractions is 5/67760.Finally, GCF of Fractions for 9055/560, 3195/484 is 5/67760.