Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/64,549/30,513/208
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 29,549,513
Greatest Common Factor of Numerators i.e. GCF of 29,549,513 is 1 .
LCM of Denominators means LCM of 64,30,208 as per the given fractions.
LCM of 64,30,208 is 12480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,549,513
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors 29,549,513 . The biggest common factor number is the GCF number.
So the greatest common factor 29,549,513 is 1.
Lets's calculate LCM of 64,30,208
2 | 64, 30, 208 |
2 | 32, 15, 104 |
2 | 16, 15, 52 |
2 | 8, 15, 26 |
4, 15, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 15 x 13 = 12480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12480
Therefore, the GCF of Fractions 29/64,549/30,513/208 is 1/12480
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 64,30,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,30,208) = 2
common factors(in case of two or more numbers have common factors) = 16
GCF(64,30,208) x common factors =2 x 16 = 32
LCM(64,30,208) = ( 64 × 30 × 208 ) / 32
LCM(64,30,208) = 399360 / 32
LCM(64,30,208) = 12480
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 29/64, 549/30, 513/208?
Answer: GCF of Numerators as per given numbers 29/64, 549/30, 513/208 is
GCF of Numerators i.e. for 29,549,513 is 1
LCM of denominators i.e. for 64,30,208 is 12480.
Thus, GCF of Fractions is 1/12480.Finally, GCF of Fractions for 29/64, 549/30, 513/208 is 1/12480.