Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 660/54,328/81,304/97
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 660,328,304
Greatest Common Factor of Numerators i.e. GCF of 660,328,304 is 4 .
LCM of Denominators means LCM of 54,81,97 as per the given fractions.
LCM of 54,81,97 is 15714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 660,328,304
2 | 660, 328, 304 |
2 | 330, 164, 152 |
165, 82, 76 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
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 660,328,304 . The biggest common factor number is the GCF number.
So the greatest common factor 660,328,304 is 4.
Lets's calculate LCM of 54,81,97
3 | 54, 81, 97 |
3 | 18, 27, 97 |
3 | 6, 9, 97 |
2, 3, 97 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 2 x 3 x 97 = 15714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15714
Therefore, the GCF of Fractions 660/54,328/81,304/97 is 4/15714
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 54,81,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,81,97) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(54,81,97) x common factors =1 x 27 = 27
LCM(54,81,97) = ( 54 × 81 × 97 ) / 27
LCM(54,81,97) = 424278 / 27
LCM(54,81,97) = 15714
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 660/54, 328/81, 304/97?
Answer: GCF of Numerators as per given numbers 660/54, 328/81, 304/97 is
GCF of Numerators i.e. for 660,328,304 is 4
LCM of denominators i.e. for 54,81,97 is 15714.
Thus, GCF of Fractions is 4/15714.Finally, GCF of Fractions for 660/54, 328/81, 304/97 is 4/15714.