Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 219/230,304/319,424/499
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 219,304,424
Greatest Common Factor of Numerators i.e. GCF of 219,304,424 is 1 .
LCM of Denominators means LCM of 230,319,499 as per the given fractions.
LCM of 230,319,499 is 36611630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 219,304,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 219,304,424 . The biggest common factor number is the GCF number.
So the greatest common factor 219,304,424 is 1.
Lets's calculate LCM of 230,319,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 36611630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36611630
Therefore, the GCF of Fractions 219/230,304/319,424/499 is 1/36611630
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 230,319,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,319,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,319,499) x common factors =1 x 1 = 1
LCM(230,319,499) = ( 230 × 319 × 499 ) / 1
LCM(230,319,499) = 36611630 / 1
LCM(230,319,499) = 36611630
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 219/230, 304/319, 424/499?
Answer: GCF of Numerators as per given numbers 219/230, 304/319, 424/499 is
GCF of Numerators i.e. for 219,304,424 is 1
LCM of denominators i.e. for 230,319,499 is 36611630.
Thus, GCF of Fractions is 1/36611630.Finally, GCF of Fractions for 219/230, 304/319, 424/499 is 1/36611630.