Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 404/43,125/97,805/65
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 404,125,805
Greatest Common Factor of Numerators i.e. GCF of 404,125,805 is 1 .
LCM of Denominators means LCM of 43,97,65 as per the given fractions.
LCM of 43,97,65 is 271115 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 404,125,805
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 404,125,805 . The biggest common factor number is the GCF number.
So the greatest common factor 404,125,805 is 1.
Lets's calculate LCM of 43,97,65
Given numbers has no common factors except 1. So, there LCM is their product i.e 271115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271115
Therefore, the GCF of Fractions 404/43,125/97,805/65 is 1/271115
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 43,97,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,97,65) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,97,65) x common factors =1 x 1 = 1
LCM(43,97,65) = ( 43 × 97 × 65 ) / 1
LCM(43,97,65) = 271115 / 1
LCM(43,97,65) = 271115
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 404/43, 125/97, 805/65?
Answer: GCF of Numerators as per given numbers 404/43, 125/97, 805/65 is
GCF of Numerators i.e. for 404,125,805 is 1
LCM of denominators i.e. for 43,97,65 is 271115.
Thus, GCF of Fractions is 1/271115.Finally, GCF of Fractions for 404/43, 125/97, 805/65 is 1/271115.