Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5783/14,2795/552
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 5783,2795
Greatest Common Factor of Numerators i.e. GCF of 5783,2795 is 1 .
LCM of Denominators means LCM of 14,552 as per the given fractions.
LCM of 14,552 is 3864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5783,2795
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5783
List of positive integer factors of 5783 that divides 5783 without a remainder.
1,5783
Factors of 2795
List of positive integer factors of 2795 that divides 2795 without a remainder.
1,5,13,43,65,215,559,2795
Greatest Common Factor
We found the factors 5783,2795 . The biggest common factor number is the GCF number.
So the greatest common factor 5783,2795 is 1.
Lets's calculate LCM of 14,552
2 | 14, 552 |
7, 276 |
∴ So the LCM of the given numbers is 2 x 7 x 276 = 3864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3864
Therefore, the GCF of Fractions 5783/14,2795/552 is 1/3864
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 14,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,552) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,552) x common factors =2 x 1 = 2
LCM(14,552) = ( 14 × 552 ) / 2
LCM(14,552) = 7728 / 2
LCM(14,552) = 3864
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 5783/14, 2795/552?
Answer: GCF of Numerators as per given numbers 5783/14, 2795/552 is
GCF of Numerators i.e. for 5783,2795 is 1
LCM of denominators i.e. for 14,552 is 3864.
Thus, GCF of Fractions is 1/3864.Finally, GCF of Fractions for 5783/14, 2795/552 is 1/3864.