Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 624/369,816/393
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 624,816
Greatest Common Factor of Numerators i.e. GCF of 624,816 is 48 .
LCM of Denominators means LCM of 369,393 as per the given fractions.
LCM of 369,393 is 48339 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 624,816
2 | 624, 816 |
2 | 312, 408 |
2 | 156, 204 |
2 | 78, 102 |
3 | 39, 51 |
13, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 624,816 . The biggest common factor number is the GCF number.
So the greatest common factor 624,816 is 48.
Lets's calculate LCM of 369,393
3 | 369, 393 |
123, 131 |
∴ So the LCM of the given numbers is 3 x 123 x 131 = 48339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/48339
Therefore, the GCF of Fractions 624/369,816/393 is 48/48339
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 369,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,393) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,393) x common factors =3 x 1 = 3
LCM(369,393) = ( 369 × 393 ) / 3
LCM(369,393) = 145017 / 3
LCM(369,393) = 48339
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 624/369, 816/393?
Answer: GCF of Numerators as per given numbers 624/369, 816/393 is
GCF of Numerators i.e. for 624,816 is 48
LCM of denominators i.e. for 369,393 is 48339.
Thus, GCF of Fractions is 48/48339.Finally, GCF of Fractions for 624/369, 816/393 is 48/48339.