Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/606,11/839,471/805
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 58,11,471
Greatest Common Factor of Numerators i.e. GCF of 58,11,471 is 1 .
LCM of Denominators means LCM of 606,839,805 as per the given fractions.
LCM of 606,839,805 is 409289370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,11,471
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Greatest Common Factor
We found the factors 58,11,471 . The biggest common factor number is the GCF number.
So the greatest common factor 58,11,471 is 1.
Lets's calculate LCM of 606,839,805
Given numbers has no common factors except 1. So, there LCM is their product i.e 409289370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409289370
Therefore, the GCF of Fractions 58/606,11/839,471/805 is 1/409289370
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 606,839,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,839,805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,839,805) x common factors =1 x 1 = 1
LCM(606,839,805) = ( 606 × 839 × 805 ) / 1
LCM(606,839,805) = 409289370 / 1
LCM(606,839,805) = 409289370
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 58/606, 11/839, 471/805?
Answer: GCF of Numerators as per given numbers 58/606, 11/839, 471/805 is
GCF of Numerators i.e. for 58,11,471 is 1
LCM of denominators i.e. for 606,839,805 is 409289370.
Thus, GCF of Fractions is 1/409289370.Finally, GCF of Fractions for 58/606, 11/839, 471/805 is 1/409289370.