Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/30,549/55,997/803
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 48,549,997
Greatest Common Factor of Numerators i.e. GCF of 48,549,997 is 1 .
LCM of Denominators means LCM of 30,55,803 as per the given fractions.
LCM of 30,55,803 is 24090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,549,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Greatest Common Factor
We found the factors 48,549,997 . The biggest common factor number is the GCF number.
So the greatest common factor 48,549,997 is 1.
Lets's calculate LCM of 30,55,803
5 | 30, 55, 803 |
11 | 6, 11, 803 |
6, 1, 73 |
∴ So the LCM of the given numbers is 5 x 11 x 6 x 1 x 73 = 24090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24090
Therefore, the GCF of Fractions 48/30,549/55,997/803 is 1/24090
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 30,55,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,55,803) = 1
common factors(in case of two or more numbers have common factors) = 55
GCF(30,55,803) x common factors =1 x 55 = 55
LCM(30,55,803) = ( 30 × 55 × 803 ) / 55
LCM(30,55,803) = 1324950 / 55
LCM(30,55,803) = 24090
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 48/30, 549/55, 997/803?
Answer: GCF of Numerators as per given numbers 48/30, 549/55, 997/803 is
GCF of Numerators i.e. for 48,549,997 is 1
LCM of denominators i.e. for 30,55,803 is 24090.
Thus, GCF of Fractions is 1/24090.Finally, GCF of Fractions for 48/30, 549/55, 997/803 is 1/24090.