Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 349/1980,288/9564
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 349,288
Greatest Common Factor of Numerators i.e. GCF of 349,288 is 1 .
LCM of Denominators means LCM of 1980,9564 as per the given fractions.
LCM of 1980,9564 is 1578060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 349,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
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 349,288 . The biggest common factor number is the GCF number.
So the greatest common factor 349,288 is 1.
Lets's calculate LCM of 1980,9564
2 | 1980, 9564 |
2 | 990, 4782 |
3 | 495, 2391 |
165, 797 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 165 x 797 = 1578060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1578060
Therefore, the GCF of Fractions 349/1980,288/9564 is 1/1578060
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 1980,9564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1980,9564) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(1980,9564) x common factors =12 x 1 = 12
LCM(1980,9564) = ( 1980 × 9564 ) / 12
LCM(1980,9564) = 18936720 / 12
LCM(1980,9564) = 1578060
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 349/1980, 288/9564?
Answer: GCF of Numerators as per given numbers 349/1980, 288/9564 is
GCF of Numerators i.e. for 349,288 is 1
LCM of denominators i.e. for 1980,9564 is 1578060.
Thus, GCF of Fractions is 1/1578060.Finally, GCF of Fractions for 349/1980, 288/9564 is 1/1578060.