Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 903/72,1392/960
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 903,1392
Greatest Common Factor of Numerators i.e. GCF of 903,1392 is 3 .
LCM of Denominators means LCM of 72,960 as per the given fractions.
LCM of 72,960 is 2880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 903,1392
3 | 903, 1392 |
301, 464 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 1392
List of positive integer factors of 1392 that divides 1392 without a remainder.
1,2,3,4,6,8,12,16,24,29,48,58,87,116,174,232,348,464,696,1392
Greatest Common Factor
We found the factors 903,1392 . The biggest common factor number is the GCF number.
So the greatest common factor 903,1392 is 3.
Lets's calculate LCM of 72,960
2 | 72, 960 |
2 | 36, 480 |
2 | 18, 240 |
3 | 9, 120 |
3, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 40 = 2880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2880
Therefore, the GCF of Fractions 903/72,1392/960 is 3/2880
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 72,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,960) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(72,960) x common factors =24 x 1 = 24
LCM(72,960) = ( 72 × 960 ) / 24
LCM(72,960) = 69120 / 24
LCM(72,960) = 2880
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 903/72, 1392/960?
Answer: GCF of Numerators as per given numbers 903/72, 1392/960 is
GCF of Numerators i.e. for 903,1392 is 3
LCM of denominators i.e. for 72,960 is 2880.
Thus, GCF of Fractions is 3/2880.Finally, GCF of Fractions for 903/72, 1392/960 is 3/2880.