Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/591,58/778,505/424
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 16,58,505
Greatest Common Factor of Numerators i.e. GCF of 16,58,505 is 1 .
LCM of Denominators means LCM of 591,778,424 as per the given fractions.
LCM of 591,778,424 is 97477176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,58,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors 16,58,505 . The biggest common factor number is the GCF number.
So the greatest common factor 16,58,505 is 1.
Lets's calculate LCM of 591,778,424
2 | 591, 778, 424 |
591, 389, 212 |
∴ So the LCM of the given numbers is 2 x 591 x 389 x 212 = 97477176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97477176
Therefore, the GCF of Fractions 16/591,58/778,505/424 is 1/97477176
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 591,778,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(591,778,424) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(591,778,424) x common factors =1 x 2 = 2
LCM(591,778,424) = ( 591 × 778 × 424 ) / 2
LCM(591,778,424) = 194954352 / 2
LCM(591,778,424) = 97477176
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 16/591, 58/778, 505/424?
Answer: GCF of Numerators as per given numbers 16/591, 58/778, 505/424 is
GCF of Numerators i.e. for 16,58,505 is 1
LCM of denominators i.e. for 591,778,424 is 97477176.
Thus, GCF of Fractions is 1/97477176.Finally, GCF of Fractions for 16/591, 58/778, 505/424 is 1/97477176.