Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 110/70,691/243
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 110,691
Greatest Common Factor of Numerators i.e. GCF of 110,691 is 1 .
LCM of Denominators means LCM of 70,243 as per the given fractions.
LCM of 70,243 is 17010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 110,691
∴ So GCF of numbers is 1 because of no common factors present between them.
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 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 110,691 . The biggest common factor number is the GCF number.
So the greatest common factor 110,691 is 1.
Lets's calculate LCM of 70,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 17010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17010
Therefore, the GCF of Fractions 110/70,691/243 is 1/17010
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 70,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,243) x common factors =1 x 1 = 1
LCM(70,243) = ( 70 × 243 ) / 1
LCM(70,243) = 17010 / 1
LCM(70,243) = 17010
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 110/70, 691/243?
Answer: GCF of Numerators as per given numbers 110/70, 691/243 is
GCF of Numerators i.e. for 110,691 is 1
LCM of denominators i.e. for 70,243 is 17010.
Thus, GCF of Fractions is 1/17010.Finally, GCF of Fractions for 110/70, 691/243 is 1/17010.