Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4770/511,3858/9342
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 4770,3858
Greatest Common Factor of Numerators i.e. GCF of 4770,3858 is 6 .
LCM of Denominators means LCM of 511,9342 as per the given fractions.
LCM of 511,9342 is 4773762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4770,3858
2 | 4770, 3858 |
3 | 2385, 1929 |
795, 643 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4770
List of positive integer factors of 4770 that divides 4770 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770
Factors of 3858
List of positive integer factors of 3858 that divides 3858 without a remainder.
1,2,3,6,643,1286,1929,3858
Greatest Common Factor
We found the factors 4770,3858 . The biggest common factor number is the GCF number.
So the greatest common factor 4770,3858 is 6.
Lets's calculate LCM of 511,9342
Given numbers has no common factors except 1. So, there LCM is their product i.e 4773762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4773762
Therefore, the GCF of Fractions 4770/511,3858/9342 is 6/4773762
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 511,9342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,9342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,9342) x common factors =1 x 1 = 1
LCM(511,9342) = ( 511 × 9342 ) / 1
LCM(511,9342) = 4773762 / 1
LCM(511,9342) = 4773762
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 4770/511, 3858/9342?
Answer: GCF of Numerators as per given numbers 4770/511, 3858/9342 is
GCF of Numerators i.e. for 4770,3858 is 6
LCM of denominators i.e. for 511,9342 is 4773762.
Thus, GCF of Fractions is 6/4773762.Finally, GCF of Fractions for 4770/511, 3858/9342 is 6/4773762.