Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1725/12,3286/464
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 1725,3286
Greatest Common Factor of Numerators i.e. GCF of 1725,3286 is 1 .
LCM of Denominators means LCM of 12,464 as per the given fractions.
LCM of 12,464 is 1392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1725,3286
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1725
List of positive integer factors of 1725 that divides 1725 without a remainder.
1,3,5,15,23,25,69,75,115,345,575,1725
Factors of 3286
List of positive integer factors of 3286 that divides 3286 without a remainder.
1,2,31,53,62,106,1643,3286
Greatest Common Factor
We found the factors 1725,3286 . The biggest common factor number is the GCF number.
So the greatest common factor 1725,3286 is 1.
Lets's calculate LCM of 12,464
2 | 12, 464 |
2 | 6, 232 |
3, 116 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 116 = 1392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1392
Therefore, the GCF of Fractions 1725/12,3286/464 is 1/1392
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 12,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,464) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(12,464) x common factors =4 x 1 = 4
LCM(12,464) = ( 12 × 464 ) / 4
LCM(12,464) = 5568 / 4
LCM(12,464) = 1392
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 1725/12, 3286/464?
Answer: GCF of Numerators as per given numbers 1725/12, 3286/464 is
GCF of Numerators i.e. for 1725,3286 is 1
LCM of denominators i.e. for 12,464 is 1392.
Thus, GCF of Fractions is 1/1392.Finally, GCF of Fractions for 1725/12, 3286/464 is 1/1392.