Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/461,3888/243
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 435,3888
Greatest Common Factor of Numerators i.e. GCF of 435,3888 is 3 .
LCM of Denominators means LCM of 461,243 as per the given fractions.
LCM of 461,243 is 112023 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,3888
3 | 435, 3888 |
145, 1296 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 3888
List of positive integer factors of 3888 that divides 3888 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888
Greatest Common Factor
We found the factors 435,3888 . The biggest common factor number is the GCF number.
So the greatest common factor 435,3888 is 3.
Lets's calculate LCM of 461,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 112023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/112023
Therefore, the GCF of Fractions 435/461,3888/243 is 3/112023
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 461,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,243) x common factors =1 x 1 = 1
LCM(461,243) = ( 461 × 243 ) / 1
LCM(461,243) = 112023 / 1
LCM(461,243) = 112023
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 435/461, 3888/243?
Answer: GCF of Numerators as per given numbers 435/461, 3888/243 is
GCF of Numerators i.e. for 435,3888 is 3
LCM of denominators i.e. for 461,243 is 112023.
Thus, GCF of Fractions is 3/112023.Finally, GCF of Fractions for 435/461, 3888/243 is 3/112023.