Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 231/911,2420/8192
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 231,2420
Greatest Common Factor of Numerators i.e. GCF of 231,2420 is 11 .
LCM of Denominators means LCM of 911,8192 as per the given fractions.
LCM of 911,8192 is 7462912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 231,2420
11 | 231, 2420 |
21, 220 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 2420
List of positive integer factors of 2420 that divides 2420 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420
Greatest Common Factor
We found the factors 231,2420 . The biggest common factor number is the GCF number.
So the greatest common factor 231,2420 is 11.
Lets's calculate LCM of 911,8192
Given numbers has no common factors except 1. So, there LCM is their product i.e 7462912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7462912
Therefore, the GCF of Fractions 231/911,2420/8192 is 11/7462912
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 911,8192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(911,8192) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(911,8192) x common factors =1 x 1 = 1
LCM(911,8192) = ( 911 × 8192 ) / 1
LCM(911,8192) = 7462912 / 1
LCM(911,8192) = 7462912
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 231/911, 2420/8192?
Answer: GCF of Numerators as per given numbers 231/911, 2420/8192 is
GCF of Numerators i.e. for 231,2420 is 11
LCM of denominators i.e. for 911,8192 is 7462912.
Thus, GCF of Fractions is 11/7462912.Finally, GCF of Fractions for 231/911, 2420/8192 is 11/7462912.