Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1101/283,2883/514
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 1101,2883
Greatest Common Factor of Numerators i.e. GCF of 1101,2883 is 3 .
LCM of Denominators means LCM of 283,514 as per the given fractions.
LCM of 283,514 is 145462 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1101,2883
3 | 1101, 2883 |
367, 961 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1101
List of positive integer factors of 1101 that divides 1101 without a remainder.
1,3,367,1101
Factors of 2883
List of positive integer factors of 2883 that divides 2883 without a remainder.
1,3,31,93,961,2883
Greatest Common Factor
We found the factors 1101,2883 . The biggest common factor number is the GCF number.
So the greatest common factor 1101,2883 is 3.
Lets's calculate LCM of 283,514
Given numbers has no common factors except 1. So, there LCM is their product i.e 145462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/145462
Therefore, the GCF of Fractions 1101/283,2883/514 is 3/145462
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 283,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,514) x common factors =1 x 1 = 1
LCM(283,514) = ( 283 × 514 ) / 1
LCM(283,514) = 145462 / 1
LCM(283,514) = 145462
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 1101/283, 2883/514?
Answer: GCF of Numerators as per given numbers 1101/283, 2883/514 is
GCF of Numerators i.e. for 1101,2883 is 3
LCM of denominators i.e. for 283,514 is 145462.
Thus, GCF of Fractions is 3/145462.Finally, GCF of Fractions for 1101/283, 2883/514 is 3/145462.