Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 519/413,780/773
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 519,780
Greatest Common Factor of Numerators i.e. GCF of 519,780 is 3 .
LCM of Denominators means LCM of 413,773 as per the given fractions.
LCM of 413,773 is 319249 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 519,780
3 | 519, 780 |
173, 260 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 519,780 . The biggest common factor number is the GCF number.
So the greatest common factor 519,780 is 3.
Lets's calculate LCM of 413,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 319249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/319249
Therefore, the GCF of Fractions 519/413,780/773 is 3/319249
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 413,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,773) x common factors =1 x 1 = 1
LCM(413,773) = ( 413 × 773 ) / 1
LCM(413,773) = 319249 / 1
LCM(413,773) = 319249
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 519/413, 780/773?
Answer: GCF of Numerators as per given numbers 519/413, 780/773 is
GCF of Numerators i.e. for 519,780 is 3
LCM of denominators i.e. for 413,773 is 319249.
Thus, GCF of Fractions is 3/319249.Finally, GCF of Fractions for 519/413, 780/773 is 3/319249.