Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/38,121/4421
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 110,121
Greatest Common Factor of Numerators i.e. GCF of 110,121 is 11 .
LCM of Denominators means LCM of 38,4421 as per the given fractions.
LCM of 38,4421 is 167998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,121
11 | 110, 121 |
10, 11 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 110,121 . The biggest common factor number is the GCF number.
So the greatest common factor 110,121 is 11.
Lets's calculate LCM of 38,4421
Given numbers has no common factors except 1. So, there LCM is their product i.e 167998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/167998
Therefore, the GCF of Fractions 110/38,121/4421 is 11/167998
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 38,4421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,4421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,4421) x common factors =1 x 1 = 1
LCM(38,4421) = ( 38 × 4421 ) / 1
LCM(38,4421) = 167998 / 1
LCM(38,4421) = 167998
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 110/38, 121/4421?
Answer: GCF of Numerators as per given numbers 110/38, 121/4421 is
GCF of Numerators i.e. for 110,121 is 11
LCM of denominators i.e. for 38,4421 is 167998.
Thus, GCF of Fractions is 11/167998.Finally, GCF of Fractions for 110/38, 121/4421 is 11/167998.