Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/33,546/339
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 648,546
Greatest Common Factor of Numerators i.e. GCF of 648,546 is 6 .
LCM of Denominators means LCM of 33,339 as per the given fractions.
LCM of 33,339 is 3729 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 648,546
2 | 648, 546 |
3 | 324, 273 |
108, 91 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 648,546 . The biggest common factor number is the GCF number.
So the greatest common factor 648,546 is 6.
Lets's calculate LCM of 33,339
3 | 33, 339 |
11, 113 |
∴ So the LCM of the given numbers is 3 x 11 x 113 = 3729
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3729
Therefore, the GCF of Fractions 648/33,546/339 is 6/3729
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 33,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,339) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,339) x common factors =3 x 1 = 3
LCM(33,339) = ( 33 × 339 ) / 3
LCM(33,339) = 11187 / 3
LCM(33,339) = 3729
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 648/33, 546/339?
Answer: GCF of Numerators as per given numbers 648/33, 546/339 is
GCF of Numerators i.e. for 648,546 is 6
LCM of denominators i.e. for 33,339 is 3729.
Thus, GCF of Fractions is 6/3729.Finally, GCF of Fractions for 648/33, 546/339 is 6/3729.