Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 612/89,304/73,436/449
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 612,304,436
Greatest Common Factor of Numerators i.e. GCF of 612,304,436 is 4 .
LCM of Denominators means LCM of 89,73,449 as per the given fractions.
LCM of 89,73,449 is 2917153 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 612,304,436
2 | 612, 304, 436 |
2 | 306, 152, 218 |
153, 76, 109 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
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 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 612,304,436 . The biggest common factor number is the GCF number.
So the greatest common factor 612,304,436 is 4.
Lets's calculate LCM of 89,73,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 2917153
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2917153
Therefore, the GCF of Fractions 612/89,304/73,436/449 is 4/2917153
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 89,73,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,73,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,73,449) x common factors =1 x 1 = 1
LCM(89,73,449) = ( 89 × 73 × 449 ) / 1
LCM(89,73,449) = 2917153 / 1
LCM(89,73,449) = 2917153
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 612/89, 304/73, 436/449?
Answer: GCF of Numerators as per given numbers 612/89, 304/73, 436/449 is
GCF of Numerators i.e. for 612,304,436 is 4
LCM of denominators i.e. for 89,73,449 is 2917153.
Thus, GCF of Fractions is 4/2917153.Finally, GCF of Fractions for 612/89, 304/73, 436/449 is 4/2917153.