Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 490/43,288/6483
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 490,288
Greatest Common Factor of Numerators i.e. GCF of 490,288 is 2 .
LCM of Denominators means LCM of 43,6483 as per the given fractions.
LCM of 43,6483 is 278769 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 490,288
2 | 490, 288 |
245, 144 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
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
Greatest Common Factor
We found the factors 490,288 . The biggest common factor number is the GCF number.
So the greatest common factor 490,288 is 2.
Lets's calculate LCM of 43,6483
Given numbers has no common factors except 1. So, there LCM is their product i.e 278769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278769
Therefore, the GCF of Fractions 490/43,288/6483 is 2/278769
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 43,6483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,6483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,6483) x common factors =1 x 1 = 1
LCM(43,6483) = ( 43 × 6483 ) / 1
LCM(43,6483) = 278769 / 1
LCM(43,6483) = 278769
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 490/43, 288/6483?
Answer: GCF of Numerators as per given numbers 490/43, 288/6483 is
GCF of Numerators i.e. for 490,288 is 2
LCM of denominators i.e. for 43,6483 is 278769.
Thus, GCF of Fractions is 2/278769.Finally, GCF of Fractions for 490/43, 288/6483 is 2/278769.