Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/287,211/306,349/519
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 799,211,349
Greatest Common Factor of Numerators i.e. GCF of 799,211,349 is 1 .
LCM of Denominators means LCM of 287,306,519 as per the given fractions.
LCM of 287,306,519 is 15193206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 799,211,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 799,211,349 . The biggest common factor number is the GCF number.
So the greatest common factor 799,211,349 is 1.
Lets's calculate LCM of 287,306,519
3 | 287, 306, 519 |
287, 102, 173 |
∴ So the LCM of the given numbers is 3 x 287 x 102 x 173 = 15193206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15193206
Therefore, the GCF of Fractions 799/287,211/306,349/519 is 1/15193206
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 287,306,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,306,519) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(287,306,519) x common factors =1 x 3 = 3
LCM(287,306,519) = ( 287 × 306 × 519 ) / 3
LCM(287,306,519) = 45579618 / 3
LCM(287,306,519) = 15193206
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 799/287, 211/306, 349/519?
Answer: GCF of Numerators as per given numbers 799/287, 211/306, 349/519 is
GCF of Numerators i.e. for 799,211,349 is 1
LCM of denominators i.e. for 287,306,519 is 15193206.
Thus, GCF of Fractions is 1/15193206.Finally, GCF of Fractions for 799/287, 211/306, 349/519 is 1/15193206.