Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 513/8526,304/2687
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 513,304
Greatest Common Factor of Numerators i.e. GCF of 513,304 is 19 .
LCM of Denominators means LCM of 8526,2687 as per the given fractions.
LCM of 8526,2687 is 22909362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 513,304
19 | 513, 304 |
27, 16 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
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
Greatest Common Factor
We found the factors 513,304 . The biggest common factor number is the GCF number.
So the greatest common factor 513,304 is 19.
Lets's calculate LCM of 8526,2687
Given numbers has no common factors except 1. So, there LCM is their product i.e 22909362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/22909362
Therefore, the GCF of Fractions 513/8526,304/2687 is 19/22909362
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 8526,2687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8526,2687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8526,2687) x common factors =1 x 1 = 1
LCM(8526,2687) = ( 8526 × 2687 ) / 1
LCM(8526,2687) = 22909362 / 1
LCM(8526,2687) = 22909362
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 513/8526, 304/2687?
Answer: GCF of Numerators as per given numbers 513/8526, 304/2687 is
GCF of Numerators i.e. for 513,304 is 19
LCM of denominators i.e. for 8526,2687 is 22909362.
Thus, GCF of Fractions is 19/22909362.Finally, GCF of Fractions for 513/8526, 304/2687 is 19/22909362.