Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 513/749,463/853,711/679
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 513,463,711
Greatest Common Factor of Numerators i.e. GCF of 513,463,711 is 1 .
LCM of Denominators means LCM of 749,853,679 as per the given fractions.
LCM of 749,853,679 is 61973009 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 513,463,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 513,463,711 . The biggest common factor number is the GCF number.
So the greatest common factor 513,463,711 is 1.
Lets's calculate LCM of 749,853,679
7 | 749, 853, 679 |
107, 853, 97 |
∴ So the LCM of the given numbers is 7 x 107 x 853 x 97 = 61973009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61973009
Therefore, the GCF of Fractions 513/749,463/853,711/679 is 1/61973009
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 749,853,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,853,679) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(749,853,679) x common factors =1 x 7 = 7
LCM(749,853,679) = ( 749 × 853 × 679 ) / 7
LCM(749,853,679) = 433811063 / 7
LCM(749,853,679) = 61973009
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 513/749, 463/853, 711/679?
Answer: GCF of Numerators as per given numbers 513/749, 463/853, 711/679 is
GCF of Numerators i.e. for 513,463,711 is 1
LCM of denominators i.e. for 749,853,679 is 61973009.
Thus, GCF of Fractions is 1/61973009.Finally, GCF of Fractions for 513/749, 463/853, 711/679 is 1/61973009.