Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 519/79,391/65,756/652
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 519,391,756
Greatest Common Factor of Numerators i.e. GCF of 519,391,756 is 1 .
LCM of Denominators means LCM of 79,65,652 as per the given fractions.
LCM of 79,65,652 is 3348020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 519,391,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 519,391,756 . The biggest common factor number is the GCF number.
So the greatest common factor 519,391,756 is 1.
Lets's calculate LCM of 79,65,652
Given numbers has no common factors except 1. So, there LCM is their product i.e 3348020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3348020
Therefore, the GCF of Fractions 519/79,391/65,756/652 is 1/3348020
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 79,65,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,65,652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,65,652) x common factors =1 x 1 = 1
LCM(79,65,652) = ( 79 × 65 × 652 ) / 1
LCM(79,65,652) = 3348020 / 1
LCM(79,65,652) = 3348020
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 519/79, 391/65, 756/652?
Answer: GCF of Numerators as per given numbers 519/79, 391/65, 756/652 is
GCF of Numerators i.e. for 519,391,756 is 1
LCM of denominators i.e. for 79,65,652 is 3348020.
Thus, GCF of Fractions is 1/3348020.Finally, GCF of Fractions for 519/79, 391/65, 756/652 is 1/3348020.