Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 336/64,304/45,411/309
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 336,304,411
Greatest Common Factor of Numerators i.e. GCF of 336,304,411 is 1 .
LCM of Denominators means LCM of 64,45,309 as per the given fractions.
LCM of 64,45,309 is 296640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 336,304,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
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 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 336,304,411 . The biggest common factor number is the GCF number.
So the greatest common factor 336,304,411 is 1.
Lets's calculate LCM of 64,45,309
3 | 64, 45, 309 |
64, 15, 103 |
∴ So the LCM of the given numbers is 3 x 64 x 15 x 103 = 296640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296640
Therefore, the GCF of Fractions 336/64,304/45,411/309 is 1/296640
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 64,45,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,45,309) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(64,45,309) x common factors =1 x 3 = 3
LCM(64,45,309) = ( 64 × 45 × 309 ) / 3
LCM(64,45,309) = 889920 / 3
LCM(64,45,309) = 296640
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 336/64, 304/45, 411/309?
Answer: GCF of Numerators as per given numbers 336/64, 304/45, 411/309 is
GCF of Numerators i.e. for 336,304,411 is 1
LCM of denominators i.e. for 64,45,309 is 296640.
Thus, GCF of Fractions is 1/296640.Finally, GCF of Fractions for 336/64, 304/45, 411/309 is 1/296640.