Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 288/633,6352/390
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 288,6352
Greatest Common Factor of Numerators i.e. GCF of 288,6352 is 16 .
LCM of Denominators means LCM of 633,390 as per the given fractions.
LCM of 633,390 is 82290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 288,6352
2 | 288, 6352 |
2 | 144, 3176 |
2 | 72, 1588 |
2 | 36, 794 |
18, 397 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 6352
List of positive integer factors of 6352 that divides 6352 without a remainder.
1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors 288,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 288,6352 is 16.
Lets's calculate LCM of 633,390
3 | 633, 390 |
211, 130 |
∴ So the LCM of the given numbers is 3 x 211 x 130 = 82290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/82290
Therefore, the GCF of Fractions 288/633,6352/390 is 16/82290
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 633,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,390) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,390) x common factors =3 x 1 = 3
LCM(633,390) = ( 633 × 390 ) / 3
LCM(633,390) = 246870 / 3
LCM(633,390) = 82290
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 288/633, 6352/390?
Answer: GCF of Numerators as per given numbers 288/633, 6352/390 is
GCF of Numerators i.e. for 288,6352 is 16
LCM of denominators i.e. for 633,390 is 82290.
Thus, GCF of Fractions is 16/82290.Finally, GCF of Fractions for 288/633, 6352/390 is 16/82290.