Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3294/434,8562/8061
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 3294,8562
Greatest Common Factor of Numerators i.e. GCF of 3294,8562 is 6 .
LCM of Denominators means LCM of 434,8061 as per the given fractions.
LCM of 434,8061 is 3498474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3294,8562
2 | 3294, 8562 |
3 | 1647, 4281 |
549, 1427 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 3294
List of positive integer factors of 3294 that divides 3294 without a remainder.
1,2,3,6,9,18,27,54,61,122,183,366,549,1098,1647,3294
Factors of 8562
List of positive integer factors of 8562 that divides 8562 without a remainder.
1,2,3,6,1427,2854,4281,8562
Greatest Common Factor
We found the factors 3294,8562 . The biggest common factor number is the GCF number.
So the greatest common factor 3294,8562 is 6.
Lets's calculate LCM of 434,8061
Given numbers has no common factors except 1. So, there LCM is their product i.e 3498474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3498474
Therefore, the GCF of Fractions 3294/434,8562/8061 is 6/3498474
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 434,8061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,8061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(434,8061) x common factors =1 x 1 = 1
LCM(434,8061) = ( 434 × 8061 ) / 1
LCM(434,8061) = 3498474 / 1
LCM(434,8061) = 3498474
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 3294/434, 8562/8061?
Answer: GCF of Numerators as per given numbers 3294/434, 8562/8061 is
GCF of Numerators i.e. for 3294,8562 is 6
LCM of denominators i.e. for 434,8061 is 3498474.
Thus, GCF of Fractions is 6/3498474.Finally, GCF of Fractions for 3294/434, 8562/8061 is 6/3498474.