Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 472/258,6659/6810
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 472,6659
Greatest Common Factor of Numerators i.e. GCF of 472,6659 is 1 .
LCM of Denominators means LCM of 258,6810 as per the given fractions.
LCM of 258,6810 is 292830 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 472,6659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 6659
List of positive integer factors of 6659 that divides 6659 without a remainder.
1,6659
Greatest Common Factor
We found the factors 472,6659 . The biggest common factor number is the GCF number.
So the greatest common factor 472,6659 is 1.
Lets's calculate LCM of 258,6810
2 | 258, 6810 |
3 | 129, 3405 |
43, 1135 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 1135 = 292830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292830
Therefore, the GCF of Fractions 472/258,6659/6810 is 1/292830
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 258,6810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,6810) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(258,6810) x common factors =6 x 1 = 6
LCM(258,6810) = ( 258 × 6810 ) / 6
LCM(258,6810) = 1756980 / 6
LCM(258,6810) = 292830
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 472/258, 6659/6810?
Answer: GCF of Numerators as per given numbers 472/258, 6659/6810 is
GCF of Numerators i.e. for 472,6659 is 1
LCM of denominators i.e. for 258,6810 is 292830.
Thus, GCF of Fractions is 1/292830.Finally, GCF of Fractions for 472/258, 6659/6810 is 1/292830.