Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 609/437,3141/304
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 609,3141
Greatest Common Factor of Numerators i.e. GCF of 609,3141 is 3 .
LCM of Denominators means LCM of 437,304 as per the given fractions.
LCM of 437,304 is 6992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 609,3141
3 | 609, 3141 |
203, 1047 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 3141
List of positive integer factors of 3141 that divides 3141 without a remainder.
1,3,9,349,1047,3141
Greatest Common Factor
We found the factors 609,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 609,3141 is 3.
Lets's calculate LCM of 437,304
19 | 437, 304 |
23, 16 |
∴ So the LCM of the given numbers is 19 x 23 x 16 = 6992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6992
Therefore, the GCF of Fractions 609/437,3141/304 is 3/6992
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 437,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(437,304) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(437,304) x common factors =19 x 1 = 19
LCM(437,304) = ( 437 × 304 ) / 19
LCM(437,304) = 132848 / 19
LCM(437,304) = 6992
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 609/437, 3141/304?
Answer: GCF of Numerators as per given numbers 609/437, 3141/304 is
GCF of Numerators i.e. for 609,3141 is 3
LCM of denominators i.e. for 437,304 is 6992.
Thus, GCF of Fractions is 3/6992.Finally, GCF of Fractions for 609/437, 3141/304 is 3/6992.