Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1728/982,2480/2447
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 1728,2480
Greatest Common Factor of Numerators i.e. GCF of 1728,2480 is 16 .
LCM of Denominators means LCM of 982,2447 as per the given fractions.
LCM of 982,2447 is 2402954 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1728,2480
2 | 1728, 2480 |
2 | 864, 1240 |
2 | 432, 620 |
2 | 216, 310 |
108, 155 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 1728
List of positive integer factors of 1728 that divides 1728 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728
Factors of 2480
List of positive integer factors of 2480 that divides 2480 without a remainder.
1,2,4,5,8,10,16,20,31,40,62,80,124,155,248,310,496,620,1240,2480
Greatest Common Factor
We found the factors 1728,2480 . The biggest common factor number is the GCF number.
So the greatest common factor 1728,2480 is 16.
Lets's calculate LCM of 982,2447
Given numbers has no common factors except 1. So, there LCM is their product i.e 2402954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2402954
Therefore, the GCF of Fractions 1728/982,2480/2447 is 16/2402954
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 982,2447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,2447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,2447) x common factors =1 x 1 = 1
LCM(982,2447) = ( 982 × 2447 ) / 1
LCM(982,2447) = 2402954 / 1
LCM(982,2447) = 2402954
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 1728/982, 2480/2447?
Answer: GCF of Numerators as per given numbers 1728/982, 2480/2447 is
GCF of Numerators i.e. for 1728,2480 is 16
LCM of denominators i.e. for 982,2447 is 2402954.
Thus, GCF of Fractions is 16/2402954.Finally, GCF of Fractions for 1728/982, 2480/2447 is 16/2402954.