Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3084/432,6692/902
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 3084,6692
Greatest Common Factor of Numerators i.e. GCF of 3084,6692 is 4 .
LCM of Denominators means LCM of 432,902 as per the given fractions.
LCM of 432,902 is 194832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3084,6692
2 | 3084, 6692 |
2 | 1542, 3346 |
771, 1673 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 3084
List of positive integer factors of 3084 that divides 3084 without a remainder.
1,2,3,4,6,12,257,514,771,1028,1542,3084
Factors of 6692
List of positive integer factors of 6692 that divides 6692 without a remainder.
1,2,4,7,14,28,239,478,956,1673,3346,6692
Greatest Common Factor
We found the factors 3084,6692 . The biggest common factor number is the GCF number.
So the greatest common factor 3084,6692 is 4.
Lets's calculate LCM of 432,902
2 | 432, 902 |
216, 451 |
∴ So the LCM of the given numbers is 2 x 216 x 451 = 194832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/194832
Therefore, the GCF of Fractions 3084/432,6692/902 is 4/194832
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 432,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(432,902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(432,902) x common factors =2 x 1 = 2
LCM(432,902) = ( 432 × 902 ) / 2
LCM(432,902) = 389664 / 2
LCM(432,902) = 194832
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 3084/432, 6692/902?
Answer: GCF of Numerators as per given numbers 3084/432, 6692/902 is
GCF of Numerators i.e. for 3084,6692 is 4
LCM of denominators i.e. for 432,902 is 194832.
Thus, GCF of Fractions is 4/194832.Finally, GCF of Fractions for 3084/432, 6692/902 is 4/194832.