Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 426/555,6134/4803
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 426,6134
Greatest Common Factor of Numerators i.e. GCF of 426,6134 is 2 .
LCM of Denominators means LCM of 555,4803 as per the given fractions.
LCM of 555,4803 is 888555 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 426,6134
2 | 426, 6134 |
213, 3067 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 6134
List of positive integer factors of 6134 that divides 6134 without a remainder.
1,2,3067,6134
Greatest Common Factor
We found the factors 426,6134 . The biggest common factor number is the GCF number.
So the greatest common factor 426,6134 is 2.
Lets's calculate LCM of 555,4803
3 | 555, 4803 |
185, 1601 |
∴ So the LCM of the given numbers is 3 x 185 x 1601 = 888555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/888555
Therefore, the GCF of Fractions 426/555,6134/4803 is 2/888555
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 555,4803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,4803) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(555,4803) x common factors =3 x 1 = 3
LCM(555,4803) = ( 555 × 4803 ) / 3
LCM(555,4803) = 2665665 / 3
LCM(555,4803) = 888555
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 426/555, 6134/4803?
Answer: GCF of Numerators as per given numbers 426/555, 6134/4803 is
GCF of Numerators i.e. for 426,6134 is 2
LCM of denominators i.e. for 555,4803 is 888555.
Thus, GCF of Fractions is 2/888555.Finally, GCF of Fractions for 426/555, 6134/4803 is 2/888555.